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If vectors vec(A)=(hat(i)+2hat(j)+3hat(k...

If vectors `vec(A)=(hat(i)+2hat(j)+3hat(k))m` and `vec(B)=(hat(i)-hat(j)-hat(k))m` represent two sides of a triangle, then the third side can have length equal to `:`

A

(a)`3m`

B

(b)`4m`

C

(c)`6m`

D

(d)Can not be determined

Text Solution

Verified by Experts

The correct Answer is:
B
Possible length would be `|vec(A)-vec(B)|` or `|vec(A)+vec(B)|`
`|vec(A)-vec(B)|=5m`, `|vec(A)+vec(B)|=3m`
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