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Consider three vectors vecp=hati+hatj+ha...

Consider three vectors `vecp=hati+hatj+hatk,vecq=2hati+4hatj-hatk and vecr=hati+hatj+3hatk` and let `vecs` be a unit vector, then `vecp,vecq and vecr` are
a. linealy dependent
b. can form the sides of a possible triangle
c. such that the vectors (q-r) is orthogonal to p
d. such that each one of these can be expressed as a linear combination of the other two

A

linealy dependent

B

can form the sides of a possible triangle

C

such that the vectors (q-r) is orthogonal to p

D

such that each one of these can be expressed as a linear combination of the other two

Text Solution

Verified by Experts

The correct Answer is:
C
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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, r such that p=hat(i)+hat(j)+hat(k) an...

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

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

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