For the following exercises, find the measure of the angle between the three-dimensional vectors a and b. 9:42 PM 139. [T] a=3i-j-2k, b=v+w, where v=-2i-3j+2k and w= i + 2k

Q: For the vector v = (2, 1), sketch (a) 2v, (b) −3v, and (c) 1/2 v.

A:

Q: For the following exercises, vectors u and v are given. Find the magnitudes of vectors: u−v and −2u.…

A:

Q: 02: Find the vector and unit vector (u) in the direction of the vector P, (-3,0, 6) to P = (4, 6, –…

A: Let us consider the vector P(a, b, c) and Q(x, y, z) then the vector in the direction of P to Q is…

Q: vectors u = -2i+4j-√√5k and v= 2i-4j+√5k, find: 1. the vector proj,u 2. the scalar component of u in…

A: Here we will solve both the sub-parts step by step,

Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

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

A: The unit vector makes an angle θ=-3π4 with positive x-axis

Q: Find the angle 0 between the two vectors u = and v = .

A:

Q: b. Find the value (a) v = - 3₁ t 10 j of the magnitude of the vector v. (b) v=4i-lej (c) -21-3j

A:

Q: J1 1. Find the angle in degrees, between the two vectors, u = (1,3,-2) and v = (2,-1,3).

A:

Q: (b) Check whether u = 6i – 2j+k and v = = -4i – 3j+9k are parallel or not. Then, find the area of…

A: