Question

Find (a) v × w, (b) w × v, (c) w × w, and (d) v × v.

v = i + j

w = 2i + j + k

Answer 1

Step 1 :

If and are two vectors in space,

the cross product  is defined as the vector

Step 2 :

The vectors are and .

(a)

The expression is

The cross product

Step 3 :

(b)

The expression is

The cross product 

Step 4 :

(c)

The expression is

The cross product 

Step 5 :

(d)

The expression is

The cross product

Solution :

(a) The cross product

(b) The cross product

(c) The cross product

(d) The cross product