Answered: Let vector a = <-1,4,0> and vector b =…

Science

Physics

Let vector a = <-1,4,0> and vector b = <4,-4,1>. The the cross product of vector a and b.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: One of the following is the vector product of vectors A = 4i + 6j + 8k and B = 6i + 8j – 10k where…

Q: 9. Vector A has a magnitude of 9.0 and Vector B has a magnitude of 3.0. If the vectors are at an…

Q: Two vectors are given by A = 3 î + 4 j andB = -1 î + 2 j. (a) Find A x B. (b) Find the angle between…

Q: 11. Find the vector product or cross product(A x B) of the given vectors: A = 50 units, 35degrees W…

Q: 8. Find the vector product of two vectors A| = 50 and B| = 20, with an angle %3D between them is…

A: Vector product is defined as- A*B = |A| |B|sin(theta) A*B = 50*20*sin(45)

Q: two vectors A and B have magnitudes A=2 and B= 5. if the angle between them is 40 degree find the…

A: The magnitude of the cross product is given by A→×B→ = A B sinθ where, θ is the angle between two…

Q: Determine the magnitude and direction of the cross product r × F if F = 30.0 N, 36.9° North of East…

Q: Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find v X u.

A: The objective of the question is to find the cross product of two vectors v and u. The cross product…

Q: Problem 3: Vector A B C R A R-L (+X,-X) Components B U-D (+Y,-y) Components Magnitude of R…

Q: There are two not orthogonal forces (F and F), if the resultant of these forces is also equal to…

A: Resultant of two force F1 and F2 is given by, F=F12+F22+2F1F2cosθ Given both the forces are equal…

Q: Which among the following is the distributive law for the cross product of three vectors? a)…

A: Option a

Q: The vector product of vectors A → and B → has magnitude 12.0 m2m2 and is in the +z+-direction.…

A: The problem involves the vector product (also known as the cross product) of two vectors A and B.…

Q: Find the cross product A x C for the following. (Express your answers in vector form.) (a) A = 8.01…

Q: Vector v = <7,-5,-7> and has an initial point of <-10,6,-12>. Find the terminal point.

A: The objective of the question is to find the terminal point of a vector given its initial point and…

Q: Let Vector A = Let Vector B= Find the angle between the vector, in degrees

A: Given, Vector A = (0,2) Vector B = (5,-5) We need to calculate, Angle between both vector =?

Q: Given M = i +4j-6 k and N = 51-2ĵ- 6 k, calculate the vector product MXN. |k Need Help? Read It…

Q: Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find the cross product of u X v.

Q: Let 7 (t) = (4t? + 5, 5e-4, – 2 sin(t)) Find the unit tangent vector T (t) at the point t = 0 T(0) =…

A: Given- r→t=4t2+5, 5e-4t,…

Q: The vector product of vectors A and B is maximum, therefore * O O vectors A and B are parallel in…

A: Given: The two vectors are A and B. To find: The condtion for the maximum vector product.

Q: If you had two vectors a = 2z(hat) and b = x(hat) + 2y(hat) + 3z(hat). What would the addition of…

Q: Given the vectors A = -5i - 3j - 8k ; B = 4i - 2j + 3k ; C = 10i -12j - 8k a. Find A x B b.…

Q: The vector product of two vectors A and B is a vector and so has both a magnitude and direction: 1.…

Q: The cartesian coordinate form of two vectors are: (-2, 0, 2) and (1, 1, 1). Find the angle between…

A: Given: The cartesian coordinate of the vectors is (x1, y1, z1)=(-2, 0, 2) and (x2, y2, z2)=(1, 1,…

Q: In a three-dimensional space we have a vector R ( 4ai + 3af + 5ak ). Another vector S has the same Y…

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: jxi=-k_This The convention is to choose the direction of +z so that ?Xj=kv which automatically means…

A: Given values: Force, F→=(7i^+9i^) N Displacement, r→=(0.8i^+1.2i^) m Torque, 𝞃→ = r→×F→

Q: Consider two vectors Ã = (1, – 3,0) and B = (0 ,0,7). Let C be their cross product: Č = Ã × В. a)…

Q: Find the cross product vectors A =i – 2j+ 3k and B = 2i + 3j - k

A: Given that:To determine the cross product of vectorsA=i-2j+3kB=2i+3j-k

Q: For the vectors a = and b = find orthab.

A: Vectors are given as and Note:Find:Orthogonal projection of on , that is,

Q: 6 units and is in the direction of +x-axis. Vector B has a magnitude 4 units and lies in the…

A: Given:- Vector B lies in x-y plane at an angle 30°with x-axis To find:- Formula used:-

Q: 7. YA 60° A = 10.0 30 B 30° 53° D = 20.0 37° C = 12.0 10 F = 20.0 B = 5.0

Q: 4. Evaluate the following unit vector multiplications: 6 x k) • t () x k) x i Û ×k) × k А. 1 В. 1 С.…

Q: Problem no 1: Find sum, difference and scalar and vetor product of vectors u = [-4,6], w = [0,4].…

A: Given vectors:u = [-4, 6] w = [0, 4]

Q: In the cross (or vector) product qu x B we know that 9=1 -307 +9.07+-212 -3.07+4.07 +6.0 B=B₁1+B7+BA…

Q: Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB|…

Q: Consider the 3D vectors C and D defined as C = 4i + 5j - 12k and D = 12i - 8j + 2k. Which of the…

A: Given, C = 4i + 5j - 12k And D = 12i - 8j + 2k

Question

Let vector a = <-1,4,0> and vector b = <4,-4,1>. The the cross product of vector a and b.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given data:

VIEW

Step 2: Determine the cross product:

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The vector product of two vectors has maximum value, if the angle between them is 90º Select one: True False
What is the direction of the vector product A × B? Use the legend in the box to indicate direction. a В (out) (out) O (in) zero in C b zero a e h out
Find the cross product, A x B.
given the position vectors r=(3,2,1) and r=(2,4,3), (a) Find a unit vector parallel to the resultant of the vectors, r1 and r2 (b) Find the angle between the vectors, r1 and r2, using the first the scalar product and thenm confirm your result with the cross product
Two vectors in Cartisian coordinates have components A= (2,2,3) and B =(4,-1,7). What is the dot product of vector A with Vector B?
Using the definition of dot product: A B = ABCOS (0AB) = AxBx + Ay By + A₂B₂ Find the angle between the following vectors: (c) A = 1î + 3j+0k B = 3î + 1) + Ok A = 1î - 3j + 2k B = -31 + 1) + 0k (b) (d) A = 1î + 1ĵ + Ok B = 21-3j+0k A = 21-5j-1k B = 3î + 11 + 3k
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:
A vector and has a magnitude of 7 units, and has a magnitude of 5 units, and the cross product of and has a magnitude of 14 units. Find the angle between and .
Vector A has a magnitude of 4 m and lies in the xy plane directed at 45 degrees counterclockwise from the positive x axis, whereas the vector B has a magnitude of 3m and lies in the yz plane directed at 30 degrees from the positive z axic. Find the cross product A x B and the angle between the vectors.
A force is specified by the vector F = [(100)i + (-110)j + (70)k] N. Calculate the angles made by F with the positive x-, y-, and z-axes. Answers: ex= i 0 0y = i 0₂ = i O
(a) What is the sum of the following four vectors in unit-vector notation? For that sum, what are (b) the magnitude, (c) the angle in degrees, and (d) the angle in radians? Positive angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise. ➡️ E: 6.00 m at +0.900 rad F: 5.00 m at -75.0° G: 4.00 m at + 1.20rad H: 6.00m at -210°
What angles does the I vector make with the z axis when 1 = 2?