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The vector vec(P)= ahat(i)+ahat(j)+3hat(...

The vector `vec(P)= ahat(i)+ahat(j)+3hat(k)` and `vec(Q)= ahat(i)-2hat(j)-hat(k)` are perpendicular to each other. The positive value of `a` is

A

3

B

4

C

9

D

13

Text Solution

Verified by Experts

The correct Answer is:
A
`vec(P).vec(Q)=0 :. a^(2)-2a-3=0 implies a=3`
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A2Z-VECTORS-Dot Product
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  2. The angle between two vectors given by 6hat(i)+6hat(j)-3hat(k) and 7ha...

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  3. The angle between two vectors -2hat(i)+3hat(j)+hat(k) and 2hat(i)+2hat...

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  4. The angle between two vectors vec(A)= 3hat(i)+4hat(j)+5hat(k) and vec(...

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  5. If a vector 2hat(i)+3hat(j)+8hat(k) is perpendicular to the vector 4ha...

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  6. Given: vec(A)=Acos theta hat(i)+Asin theta hat(j). A vector vec(B), wh...

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  7. If vec(A) and vec(B) are perpendicular Vectors and vector vec(A)= 5hat...

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  8. The angles with a vector hat(i)+hat(j)+sqrt(2hat(k)) makes with X,Y an...

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  9. If a vector vec(P) making angles alpha, beta, gamma respectively with ...

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  10. If two vectors 2hat(i)+3hat(j)-hat(k) and -4hat(i)-6hat(j)-lambda hat(...

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  11. The angle between two vectors vec(A)= 3hat(i)+4hat(j)+5hat(k) and vec(...

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  12. If for two vectors vec(A) and vec(B), sum (vec(A)+vec(B)) is perpendic...

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  13. The angle between the Vector (hat(i)+hat(j)) and (hat(j)+hat(k)) is

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  14. If vec(P).vec(Q)= PQ, then angle between vec(P) and vec(Q) is

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  15. The vector vec(P)= ahat(i)+ahat(j)+3hat(k) and vec(Q)= ahat(i)-2hat(j)...

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  16. Consider a vector vec(F)= 4hat(i)-3hat(j). Another vector that is perp...

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  17. At what angle must the two forces (x+y) and (x-y) act so that the resu...

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  18. The component of vector A= 2hat(i)+3hat(j) along the vector hat(i)+hat...

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  19. If vec(A)=2hat(i)+3hat(j)-hat(k) and vec(B)=-hat(i)+3hat(j)+4hat(k), t...

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  20. The projection of the vector vec(A)= hat(i)-2hat(j)+hat(k) on the vect...

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