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The angle between the vectors : vec(a)...

The angle between the vectors :
`vec(a)=hat(i)+2hat(j)-3hat(k)` and `3hat(i)-hat(j)+2hat(k)` is :

Text Solution

Verified by Experts

The correct Answer is:
`7.68`
Given `vec(OP)= 2hat(i) + 3hat(j)- hat(k) and vec(OQ)= 3hat(i) - 4hat(j)+ 2hat(k)`, where O be the origin
Now, `vec(PQ)= vec(OQ)- vec(OP)= (3hat(i)- 4hat(j) + 2hat(k))- (2hat(i)+ 3hat(j)- hat(k))`
`= hat(i)- 7hat(j) + 3hat(k)`
`therefore |vec(PQ)|= sqrt(q^(2)+ (-7)^(2)+ 3^(2))= sqrt59= 7.68`
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