Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v orthogonal to b. Enter the exact answers. The vector component of v along b is -4/3 -8/3 8/3 The vector component of v orthogonal to b is 13/3 26/3 -26/3

Q: Find the unit vector that has the same direction as the vector v = i + j.

A: For the vector ai∧+bj∧ ,unit vector is given by ai∧+bj∧a2+b2

Q: Express the vector = [4] à = vi+ as a a linear combination of ₁ = [] [1] and = [] 02 V2-

A:

Q: Find the vector p given the relationship between A and x.

A: Step1: Let's break down the problem step by step.Given Matrices: We are given two matrices: 𝐴 and…

Q: 2 Write the vector x= as a linear combination of the vectors -1 1) u=0 |, v=| 1 w= 1 1 N O H O O

A: Consider x = au+bv+cw then 20-1 = a100+b110+c11120-1 = a+b+cb+cc On comparing the coefficients , we…

Q: Find the unit vector that has the same direction as the vector v = -i + 2j.

A:

Q: Find the unit vector of A=3ax+2ay-3az

A:

Q: Find the vector v = PQ. Р3 (1,6, 5) Q = (5, 7, 1)

A: To find vector v=PQ→.

Q: 8. Let u = (-5,2) and v=(4,4) find, a) u+ v

A: Givenare

Q: Find the component form of the vector.

A: The graph of the vector:To find: The component form of the vector.

Q: For any vector v in ℝ3, explain why v × v = 0.

A: Given v∈R3 v×v=0

Q: Find the vector v = PQ. Р- (2, 1,4) Q = (-8.25, -4.25, 8) v =

A:

Q: Determine whether the vectors AB and PQ are equal to each other.

A: Solution of the problem as follows

Q: Find the component vector of v

A: To find component of vector v

Q: Find the component form of the resultant vector.

A: To Find the component form of the resultant vector.