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Consider three vectors p=hat(i)+hat(j)+h...

Consider three vectors `p=hat(i)+hat(j)+hat(k), q=2hat(i)+4hat(j)-hat(k) and r=hat(i)+hat(j)+3hat(k)` and let s be a unit vector, then
Q. If `(ptimesq)timesr=up+vq+wr`, then (u+v+w) is equal to

A

`8`

B

`2`

C

`-2`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Passage Based Questions)
  1. Consider three vectors vecp=hati+hatj+hatk,vecq=2hati+4hatj-hatk and v...

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  2. Consider three vectors p=hat(i)+hat(j)+hat(k), q=2hat(i)+4hat(j)-hat(k...

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  3. Consider three vectors p=hat(i)+hat(j)+hat(k), q=2hat(i)+4hat(j)-hat(k...

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  4. Consider the three vectors p, q, r such that p=hat(i)+hat(j)+hat(k) an...

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  5. Consider the three vectors p, q, and r such that vecp=veci+vecj+veck a...

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  6. Consider the three vectors p, q, r such that p=hat(i)+hat(j)+hat(k) an...

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  7. Let P, Q are two points on the curve y = log(1/2) (x-0.5)+log2 sqrt(4x...

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  8. Let P and Q are two points on the curve y=log((1)/(2))(x-0.5)+log2sqrt...

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  9. Let P, Q are two points on the curve y = log(1/2) (x-0.5)+log2 sqrt(4x...

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  10. If a, b, c are three given non-coplanar vectors and any arbitratry vec...

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  11. If a, b, c are three given non-coplanar vectors and any arbitratry vec...

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  12. If a, b, c are three given non-coplanar vectors and any arbitratry vec...

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  13. If a, b, c are three given non-coplanar vectors and any arbitratry vec...

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  14. Let g(x)=int0^x(3t^(2)+2t+9)dt and f(x) be a decreasing function fora...

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  15. Let g(x)=int0^x(3t^(2)+2t+9)dt and f(x) be a decreasing function fora...

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  16. Let x, y, z be the vector, such that |x|=|y|=|z|=sqrt(2) and x, y, z m...

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  17. Let x,y,z be the vector, such that |x|=|y|=|z| =sqrt(2) and x,y,z make...

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  18. Let x, y, z be the vector, such that |x|=|y|=|z|=sqrt(2) and x, y, z m...

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  19. a, b, c are non-zero unit vectors inclined pairwise with the same angl...

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  20. a, b, c are non-zero unit vectors inclined pairwise with the same angl...

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