Question

If Ā = 2î - j - 3k and B î+ 2ĵ – k and C =

î+ 3j – 2k, find (ĀxB)× C.​

Answer 1

Answer:

- 13 î + 19 j + 22 k

Explanation:

Ā = 2î - j - 3

B = î+ 2ĵ – k

C = î+ 3j – 2k

We have to find (ĀxB)× C

• First find ĀxB (let ĀxB = P)
• Then find PxB .
• PxB = (ĀxB)× C

Step-1

ĀxB = (2î - j - 3k) × (î+ 2ĵ – k)

= 7 î - j + 5 k (from the above image)

= P (say)

Step-2

Now (ĀxB)× C = P × C

= ( 7 î - j + 5 k ) × ( î+ 3j – 2k )

= - 13 î + 19 j + 22 k (from the above image)

(answer)