Question 1: Let vectors: A? =(2,1,−4), B? =(−3,0,1), and C? =(−1,−1,2)

Subject:PhysicsPrice:2.85 Bought3

Share With

Question 1:

Let vectors: A? =(2,1,−4), B? =(−3,0,1), and C? =(−1,−1,2).

Calculate the following:

(A) What is the value of  A? ⋅ B? ?

(B) What is the angle θAB between A? and B? ?

(C) What is the value of 2B? ⋅ 3C? ?

(D) What is the value of 2(B? ⋅ 3C?) ?

Which of the following can be computed? (Choose only 1 of the following)

A? ⋅B? ⋅C?

A? ⋅(B? ⋅C? )

A? ⋅(B? +C? )

3⋅A?

FOR PARTS F THROUGH H:

V? 1 and V? 2 are different vectors with lengths V1 and V2 respectively. Find the following:

(F) Express Answer in terms of V? 1,   V? 1⋅V? 1 =

(G) If V? 1 and V? 2 are perpendicular, V? 1⋅V? 2 =

(H) Express your answer in terms of V1 and V2.  If V? 1 and V? 2 are parallel,   V? 1⋅V? 2 =