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Express the vector vec(r)=4hat(i)+13hat(...

Express the vector `vec(r)=4hat(i)+13hat(j)-18hat(k)` as a linear combination of the vectors `vec(a)=hat(i)-2hat(j)+3hat(k)andvec(b)=2hat(i)+3hat(j)-4hat(k).`

A

`vec(r)=2vec(a)+5vec(b)`

B

`vec(r)=7vec(a)-3vec(b)`

C

`vec(r)=-3vec(a)-4vec(b)`

D

`vec(r)=-2vec(a)+3vec(b)`

Text Solution

Verified by Experts

The correct Answer is:
D
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