Answered: Vector A = 3 i + 3.8 j. Vector B = 5.1…

Vector A = 3 i + 3.8 j. Vector B = 5.1 i - 7.5 j. The dot product of the two is C = A ∙ B (i.e. A dot B). The value of C is:

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter1: Matrices, Vectors, And Vector Calculus

Section: Chapter Questions

Problem 1.41P: For what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?

See similar textbooks

Related questions

Q: Please show me how to work this. Don't round any figures please.

A: The dot product of two vectors can be calculated using following steps,Given:The magnitude of…

Q: Two vectors a and b in Figure have equal magnitude of .20 m and the angles are 0, = 30° and 02 =…

Q: 1. A.) Find the scalar dot product and the angle between the vectors B.) Find the Vector cross…

A: A) The vector A and B’s scalar product may be calculated from its formula as follows:…

Q: What is the dot product if the angles between two vectors (magnitudes are 45 and 32), is 35.7…

Q: Given = 4 î + 6 ĵ − 4 and = 6 î − 3 ĵ − 3 , calculate the vector product M✕ N.

Q: Vector A=7.2i+2.6j vector B=7.5i+7.4j the magnitude of the cross product

A: Given data The vector equation of vector A is given as A→=7.2i^+2.6j^. The vector equation of vector…

Q: A vector a of magnitude 17 units and another vector b of magnitude 5.5 units differ in directions by…

A: Given: Magnitude of a vector a is |a| =17 units Magnitude of second vector b is |b| =5.5 units and…

Q: Find the dot product of the vectors F = -6.62 a₁ +8.68 ag + 1.90 ap and G = 1.50 a₁ + 7.08 ag + 8.27…

Q: Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k The vector dot product M. N equals A 19 B…

Q: What is the cross product A x B of the vectors, A = i + 4j + 6k and B = 2i + 3j + 5k ?

A: Given vector --- vector A = i + 4j +6k . vector B = 2i + 3j + 5k . We have to find--- cross…

Q: Given M = 3 î + j - 3 k and N = 5 î – 4 j – 4 k, calculate the vector product M x N.

A: As per bartleby guidelines, i have solved first question posted by you out of multiple questions. If…

Q: If vector A has a magnitude of 5N, vector B has a magnitude of 7m, and the angle between vectors A…

Q: Scalar ng Bayan. The vectors k and a in the figure have a magnitude of 10.00 [m] and 5.00 [m],…

Q: Given two vectors: M = -31 + 6j – 5k and N= -21 + 3j + k The vector dot product M· Nequals A 29 B 19…

A: Given: M→=-3i^+6j^-5k^N→=-2i^+3j^+k^

Q: "If vectors A = 4i + 3j + 2k and B = 2i + 3j + 4k, then the dot product A.B will be equal to"

A: Given vectors A = 4i + 3j + 2k B = 2i + 3j + 4k To find dot product, A.B

Q: Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k M.N equals The vector dot product

Q: 6. u = 4i – j+3k v = 2i + j+k w = -i+5j+3k r = ai + ßj+ yk Evaluate the scalar products u.v and v.w.…

Q: Two vectors have the following magnitude, A = 10.5 m and B = 10.1 m. Their vector product is:…

A: Data provided: Magnitude of vectors A = 10.5 m and B = 10.1 m A⨯B = -4.6 m i + 7.6 m k.

Q: Given the pair of vectors, A = (9.0oî – 2.00ĵ ) and B = (-2.00î + 7.0oj ), use the definition of a…

A: A→ = (9i^ - 2j^) B→ = (-2i^ + 7j^)

Q: The dot product of two vectors M and N is 67.4. What is the magnitude of Mcif N=5.5 and the angle…

Q: B)U (zero) iv. The magnitude of the vector product of two a) greater than AB c) less than AB

A: Since the question is not specified, the first question will be sovedd according to company policy.…

Q: Given three vectors A = -2i + 3j + 4k, B = 3i + 1j – 3k and C = 3i -4j + 2k, do the following: a)…

A: The given three vectors are A=-2i+3j+4k,B=3i+1j–3k, and C=3i-4j+2k

Q: Given two vectors: M = -3î + 6j – 5k and Ñ= -2î + 3ĵ +.k The vector dot product M. N equals

Q: "If vectors A = 3i + 4j + 5k and B = 2i + 3j + 4k, then the dot product A.B will be equal to" 38 28…

Q: The scalar product of two vectors of the same direction is 8.0. If the magnitude of the first vector…

A: Vectors are in same direction so angle between the vectors is zero. First vector is A and second…

Q: Vectors A and B have scalar product -8.00 and their vector product has magnitude 5.00 what is the…

Q: Two vectors have the following magnitude, A = 12.2 m and B = 12.8 m. Their vector product is: AxB =…

Q: Find the scalar product between the vectors ? = 5?̂ + 6?̂ + 1? y ? = −3?̂ + 4?̂ − 8?. What is the…

A: Let A,B are vectors A= 5i + 6j + k B= -3i + 4j - 8k

Q: Vector A has magnitude 11.89 m and vector B has magnitude 13.89 m. The magnitude of the cross…

A: Given Magnitude of the two vectors are given as A→=11.89 m and B→=13.89 m Magnitude of the cross…

Q: Two vectors have the following magnitude, A = 5.4 m and B = 6.5 m. Their vector product is: A⨯B…

A: Given data: Magnitude of vectors A = 5.4 m and B = 6.5 m A⨯B = -2.2 m i + 5.3 m k

Q: Calculate the dot product: A ∙ B, given that vectors A = 3i + 6j a nd B = 4i – 4j

Q: Two vectors a and b in Figure have equal magnitude of 20 m and the angles are e, = 30° and 02 =…

Q: Vectors A and B have scalar product -7.00, and their vector product has magnitude +9.00. What is the…

A: Express the scalar product of vectors A and B. A·B=ABcosθ-7.00=ABcosθ ---1 Here, θ is the angle…

Q: Find the dot product of two vectors shown in the figure. The magnitude of the vectors are A=6 and…

A: Given: magnitude of vectors A=6, B=6 To find: Dot product of A and B=??

Q: 8) A vector ä of magnitude 10.0 units and another vector b of magnitude 6.00 units differ in…

A: Given data: a = 10.0 units b = 6.00 units Angle between vector a and b (θ) = 60.0°

Q: Using only the dot product, find the angle θ between the two vectors A = 2i + 6j and B = -3i + 2j

Q: Given two vectors: M = -3î + 6j – 5k and Ñ = -2î + 3j + k The cross product of MxN equals

Q: Two vectors have the following magnitude, A = 8.3 m and B = 10.5 m. Their vector product is: A⨯B =…

Q: Two vectors have a magnitude of 3 and 2 and their dot product has a value of -5. Which of the…

Q: Two vectors have a dot product of 7 m² and a cross product of magnitude 4.95 m². What is the angle…

A: Let A and B are the two vectors.

Q: Given that vector u has length 3, vector v has length 5, and the dot product of u and v is -1, what…

A: Given:- length of u=3, length of v=5 the dot product of u and v = -1 now…

Q: Two vectors have the following magnitude, A = 8.9 m and B = 7 m. Their vector product is: A⨯B =…

Q: Problem 20: Assume you have two vectors, A = 7.1i + 3.9j and an unknown vector B with length 3.2.…

A: Assume you have two vectors, A = 7.1i + 3.9j and an unknown vector B with length 3.2. In this…

Q: ectors A and B are given by: A = 24.15i + 22.01j B = 80.63i + 23.67j Find the scalar product…

Q: )For the vectors shown in the figure, find the magnitude and direction of the vector product A x C.…

Q: Two vectors have the following magnitude, A = 9.7 m and B = 14.6 m. Their vector product is: A⨯B =…

Q: Problem 20: Assume you have two vectors, A = 7.1i + 3.9j and an unknown vector B with length 3.2.…

Q: Given M = 6 î + 5 ĵ- 6k and N = 5 î – 3 j- 3 k, calculate the vector product M x N.

Q: Two vectors have the following magnitude, A = 13.1 m and B = 14.1 m. Their vector product is: AxB =…

A: We know, A×B=ABsinθ Thus, the angle will be, θ=sin-1A×BAB

Question

Vector A = 3 i + 3.8 j. Vector B = 5.1 i - 7.5 j. The dot product of the two is C = A ∙ B (i.e. A dot B). The value of C is:

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Find the angle between vectors for (a) D=(-3.0i-4.0j)m and A=(-3.0i+4.0j)m and (b) D=(2.0i+4.0j+K)m and B=(-2.0i+3.0j+2.0K)m .
Find the scalar components of three-dimensional vectors G and H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes.
Perform the following arithmetic operations, keeping the correct number of significant figures in your answer. a. The product 56.2 0.154 b. The sum 9.8 + 43.4 + 124 c. The quotient 81.340/
For what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?
Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .
Two vectors have the following magnitude, A = 12.2 m and B = 12.8 m. Their vector product is: AxB = -3.7 m i + 14.7 m k. What is the angle (in degrees) between the vectors A and B?
Considering the usual unit vectors: i, j and k Find the dot product, given by C=A'B, for the following vectors. A = 1757 and B= 1.27 +1.2 O 210 î 210 î 420 O 210 O 2107 +2107
Vector A has magnitude 43.66 m and vector B has magnitude 76.65 m. The magnitude of the cross product Ax B is 32.9 m2. What is the dot product between these two vectors? Express your answer in two decimal places.
Vector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A dot B). The value of C is:
Problem 1: Let A = î - 2ĵ and B = 2î + ĵ. Compute A.B. Problem 2: Let A = î - 2ĵ and B = 2î + ĵ. Compute A. (A + B). 1 Problem 3: Using the dot product, compute the angle between vectors C and D. C = 2î + 3ĵ D = 3î - 5ĵ
Two vectors have the following magnitude, A = 7.2 m and B = 7.8 m. Their vector product is: A⨯B = -4.7 m i + 11.4 m k. What is the angle (in degrees) between the vectors A and B? Hint: Use |A⨯B| = AB sin(θ)(please don't round off any number)
If V1= 2 i+ 10 j-11 k, and u= 2 i+2 j+ k, then, the value of the vector dot product (V1.V2) equals to 15?