Let A = -4i – 2j + 4k and B=6i – 3j. (a) Compute cos 0, where is the angle between A and B. (b) Find the component of B in the direction of A. (c) Find the vector projection of A onto B.

Q: Find the angle θ between the vectors (a) in radians and (b) in degrees.

A: We are given with the vector and need to fid the angle in a) radians b) degree.

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i + j, v = i + 2j - k

A: Now,

Q: Consider the following. 5i + 6j, v = 7i + 9j U = (a) Find the projection of u onto v. (b) Find the…

A:

Q: Let 0 be the angle between the vectors u = 2i + 3j - 6k and v = 2i + 3j + 6k a. Use the dot product…

A:

Q: 4 cos(x) = 4 cos(x)i - 4 sin(x)j -4 sin(x) u3D( )i+( ) j

A: solution is given below

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i - 2j + k, v = 3i +…

A:

Q: 1) The domain of the vector position r(t) = 1+2 i+ sintj+ In(9- t²) k

A: We are entitled to solve only 1 question at a time so, I am providing you the solution of the first…

Q: Find cos(0) if 0 is the angle between the vectors u= 2i + 2j – k and v = 3i + 4k

A: Consider the two vectors. u=2i+2j-k and v=3i+4k It is given that θ is the angle between the vectors.…

Q: 3n Find the unit vector that makes an angle (0 = with the positive x-axis.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find the orthogonal projection of v = i + j + k on b = 2i + 2j,and then find the vector component of…

A: We have given vectors V=i^+j^+k^ and b=2i^+2j^ Vector component V of  along b…

Q: b) Consider the vectors a = 3i – 2 j +7 K, and b = -5 i +4 j-3 k, find 1- a.b 2- Angle between a and…

A: b Given vectors are a=3i−2j+7k and b=−5i+4j−3k. 1 We have to find the a⋅b…

Q: Find the angle between the vectors a = 10i – j – 5k - and b = 2i+j – 4k. Answer (in radians): 0 =

A:

Q: Let i = 47 – 10j + k %3D and y = 10i + 4j + 5k be the two vectors. Find the angle (in radians)…

A:

Q: Given that a =-i+j+k, b3D2i+j-4k and c= 3i-5j+k, find a vector in the direction as (-a+3b-c) and has…

A:

Q: 1. Let p, be the vector in R? which is obtained by rotating the point about the origin through an…

A: The position of the object can be determined by using either cartesian or polar coordinates. The…

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i3j-k, find vector normal to A and In plane of A and, B.…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: Find the vectors T, N, and B at the given point. r(t) = 7 cos(t), 7 sin(t), 7 ln(cos(t)),    (7, 0,…

A: Obtain the derivative of r(t) as shown below:

Q: -2i -sj+si and -i+zi are orthogonal, then

A:

Q: The graph of the vector function r (t) = 2i + t²j+ tk is

A: Given function is r^t=2i^+t2j^+tk^. Plot the graph of the vector function. Choose some values for t…

Q: Suppose the vector t has magnitude 48 and makes an angle of 239° with the positive x-axis (measured…

A:

Q: Find cos(0) if 0 is the angle between the vectors u= 4i – 3k and v = 2i – 2j + k 2 14 15 15

A: First I have written a short note , just use them and find that  Answer is 1/3

Q: For a vector of my oriented at 245 degrees on the hexagonal system, find the projections of this…

A: We have to find the projection of the hexagonal system on the six leads.

Q: Find the angle θ between the vectors v = 5i + 2j and w = -3i + j. Round to the nearest tenth of a…

A: Given vectors v=5i+2jw=-3i+j The dot product of these vectors can be found using  v·w=vxwx+vywy…

Q: Consider the following. 9i + 7k, 2i + 5k (a) Find the projection of u onto v. (b) Find the vector…

A: Given that      u = 9i + 7k    ,  v = 2i + 5k  Here we have to find the projection of u onto v .

Q: Let x→=2i→−12j→+k→ and y→=12i→+2j→+3k→ be the two vectors. Find the angle (in radians) between the…

A: Given two vectors are To find angle between given two vectors.

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

A:

Q: 2 Let u = = 1 (i) Find the angle between u and v. (ii) Find a vector w of length 2 in the direction…

A:

Q: The vector êr and êe in terms of î and ĵ is given by êr = î cos e + ĵ sin 0, %3D and êe = -î sin 0 +…

A: True

Q: Calculate the cosine of the angle which the vector 2i+2j-k makes with the positive x-axis

A: Given: find the cosine of the angle which the vector 2i+2j-k makes with positive x axis

Q: Answer either A or B. A) Let V = 21 + 3j – k and W = -i - 5j – 6k, then find cos 0, where 0 is the…

A: Vector problem....

Q: Let θ be the angle between the vectors u = 2i + 3j−6k and v = 2i + 3j +6k. (a) Use the dot product…

A: For two vectors u→, v→ in 3-space we have that:                     u→·v→=u→ v→cos θ⇒cos θ=u→·v→u→…

Q: Find the angle between the vectors u = 3i + j, v = −2i + 4j  (a) in radians and (b) in degrees.

A: Find the angle between the vectors u = 3i + j, v = −2i + 4j  (a) in radians and (b) in degrees.

Q: Exercise 12. Let C: |z-3+7i|=1 be the contour in the counterclockwise direction. .cosh(z) Which of…

A:

Q: Let u = 3j - 2k and v = 2i + 5k. Calculate cose where between u and v. is the angle

A:

Q: Given the vectors A = 3i – 5j + 2k and B = 7i + j – 2k. Find the vector projection of A onto B.

A:

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = √3i - 7j, v = √3i + j -…

A: Given:u=3i-7jv=3i+j-2kAngle:cosθ=u→.v→u→.v→

Q: nd the an

A: Here we have, u→=cosπ3i+sinπ3j ........................................ (1)  v→=cos3π4i+sin3π4j…

Q: What is the magnitude of the vector cos 0 i + sin 0j +1? 00 1 O√2 02

A: We have to find magnitude of the vector cos θ i + sin θ j + 1 k  (not only 1)

Q: . C:r=r(t) = 2 cos(t)i+ 3 sin(t)j

A: Solution

Q: Find the magnitude of the vector y = 2i-2i. v =

A: Given,           v=2i-2j

Q: The graph of the vector functionr (t) = 2i +tj+tk is

A: 3d graph related problem.....

Q: Let i = 47 – 107 + k and y = 10i +4j +5k be the two vectors. Find the angle (in radians) between the…

A: Given:

Q: 1. Find the angle that the vector V = makes with the positive x axis.

A:

Q: The unit vector in the direction of E=6i+8j is 0.3i+4j F

A:

Q: Find the angles that vector D 2.5 - 8.5 + k) m makes with the x-, y-, and z- axes.

A: Follow the procedure given below.

Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k 41 +5/-6k i (C): If w = tan x and…

A:

Q: Find  the vector in the same direction as  i + j  whose component in the   direction of  2i-2k  is…

A:

Q: If a line is parallel to the vector 7i + 5j+ 5k and passes through the point P=(4,3,5), then the…

A: To find the parametric equation of the line:Given line is parallel to the vector 7i+5j+5kSo, a=7,…

Q: The vectors i = (-4, p, –2) and j = (-2,3, 6) are such that the angle 0 between them satisfy…

A:

Q: 4) Find the magnitude and direction of the vector i that has components vz -1525 and Vy -8402. %D

A: Any vector lying in the xy-plane, can be decomposed into two vectors which lie along the x and…