Let u = 8i + 2j and v = 8i − j. (a) Find the angle between u and v. (Round your answer to one decimal place.) (b) Find the component of u along v. (c) Find projvu.

Q: If | A •B, what is the angle between A and B?

A: Let A and B denote the two vectors and θ denote the angle between the vectors. The given situation…

Q: If the magnitude of a vector D =76.9 and is directed 29.3 clockwise from the negative x axis, what…

A: Given,  magnitude of vector D=76.9 m, and its making 29.3o angle with -x axis in clockwise direction…

Q: The x component of vector A is 3 units, and its y component is -4 unit The magnitude of A is

A: Given    The x component of vector A is 3 units, and its y component is -4 units. The magnitude of A…

Q: the figure. The magnitude in T) at

A:

Q: Given two vectors A = -11.3 i + 4.71 j, B = 2.38 i - 12.97 j, find the angle (in degrees) that the…

A: Solution:-

Q: Two points are given in polar coordinates by (r, 0) = (1.80 m, 50.0°) and (r, 0) = (3.00 m, -48.0°),…

A:

Q: find the angle between two vectors, 6 and 8units long, when their is 10 units long and 4 units long

A: Use cosine theorem When 10 units long a = 6 , b = 8 and c= 10 (10)2  = (6)2 + (8)2 + 2×6×8 cosA  100…

Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: What is the angle between vector A= -3i +4j and the positive x-axis?

A:

Q: The vector A⃗ has a magnitude of 6.0 m and makes an angle of 60 degrees above the positive x-axis.…

A: Given,

Q: Given two vectors A= 7i + 4j − 2k, and B= 3i − 10j + 3k, calculate the angle between them, where i,…

A: Given Data:- Two vectors are A→=7i^+4j^-2k^ B→=3i^-10j^+3k^ Required:- We need to calculate the…

Q: What angle OB, where 0° < OB < 360°, does B make with the +x-axis? Express your answer in degrees.

A:

Q: If a vector has a x-component = - 53.7 m and a y- component = -12.3 m, what is the direction of the…

A: The vector diagram for the provided vector is:

Q: Find the magnitude (F) and the direction (°) of resultant, measured clockwise from the positive u…

A:

Q: Find the polar coordinates of the points with Cartesian coordinates (3x, -3y).

A:

Q: Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured…

A: Vector A-B can be found out using A-B = (17-4.5)x +(11.5-(-3.5))y  A-B = (12.5)x+(15)y

Q: Two points are given in polar coordinates by (r, θ) = (1.60 m, 50.0°) and (r, θ) = (6.60 m, -70.0°),…

A:

Q: Two vectors, A and B, have magnitudes of 4.70 units and 9.36 units, respectively. The angle between…

A: The scalar product between two vectors is given by,

Q: x² + 4x – 5 b Using Trigonometric Substitution dx = | f(e)dA · find the new limits of integration.…

A: Given that:- Basic mathematics equation is given in the question.

Q: Two points in the xy plane have Cartesian coordinates (2.00, –4.00) m and (-3.00, 3.00) m. Determine…

A:

Q: Two vectors in polar coordinates (R, θ) are given by
 V1 = (5.0, 125°) and V2 = (4.0, 260°). Find…

A:

Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What the…

A: Given value--- horizontal component = 23.6 N. vertical component = 34.8 N. We have to find---…

Q: In the polar coordinate system, r is the distance from any point to the point having Cartesian…

A: In polar co-ordinate r is represented as radial component. And it can be expressed in terms of angle…

Q: Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance…

A:

Q: find (a) 2u + v and (b) 5u - 2v.

A:

Q: The x-component of the unit vector from the point A(-2, -3) to the point B(-1, 6), is:

A:

Q: Two vectors, A and B, have magnitudes of 4.70 units and 9.81 units, respectively. The angle between…

A:

Q: a vector A (-4i-2j)and  a vector B (-2i-4j) the vector A makes an angle with the positive x axis…

A: The angle made by point A (x, y)  with positive x –axis , when it lies in different quadrant of x-y…

Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What i: the…

A:

Q: Find the distance from the origin to the plane 3x − 2y − 6z = 7

A: The equation of the plane is, Now, compare the above plane with the general form of the plane (ax +…

Q: Two points in the xy plane have Cartesian coordinates (2.00, 24.00) m and (23.00, 3.00) m. Determine…

A: The coordinates of the first point is  The coordinate of second point is The distance between…

Q: polar angle of point

A:

Q: add the following vectors and determine the resultant. 6 m/s, 225 degrees and 2 m/s, 90 degrees

A:

Q: If |A x B| = A-B, what is the angle between A and B?

A: We know, A→×B→=A→B→sinθ    A→·B→=A→B→cosθ

Q: There are two vectors lying on Q1 of the rectangular plane. Vector A = 125N at 75 degrees and vector…

A: Write the vector A. A=125 N @75o   Write the vector B. B=150 N @ 0o

Q: Use the magnitude and the angle to find the components of the sum.

A: In the table you are asked to execute three processes- simulation, algebric and graphical solution…

Q: Find the Cartesian coordinates for the point whose distance from the origin is 7 m and the angle…

A:

Q: what would be the polar coordinates of this vector? 0.265i + 0.223j

A:

Q: Vectors Aand Bhave equal magnitudes of 5.00. If the sum of Aand Bis the vector 6.00j, determine the…

A: Given Information: The magnitude of the vector A and B is “5.00” Given that the resultant vector of…

Q: A vector in the x-y plane has a magnitude of 30 units with an x component of magnitude 15 units. The…

A: Given :  Magnitude of the vector in x-y plane,  A = 30 units Magnitude of x component of the vector,…

Q: The x and y coordinates of point P are (-8.50 m, -7.00 m). What is the magnitude of point P?

A: Solution:

Q: write the vector v in terms of i and j whose magnitude lvl and direction angle θ are given as lvl =…

A: Let us consider V⇀ for which magnitude &amp; angle are given as written below:- V=12 -----(1)…

Q: Given the vectors A = (-2,2) in Cartesian, B = (4,30") in polar coordinates, and C = (-4,-9) in…

A: Given that:- Vector=(-2,2) Vector B=(4,30°) Vector C=(-4,-9)

Q: What is the length of a vector having these coordinates: (3, 5,-2) ?

A:

Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What is the…

A: Given data- Horizontal component=23.6 N vertical component=34.8 N

Q: If y equals to 9 minus 7x plus 2x squared, find y when x equals to 3?

A:

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.