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about to only mathematics

A

a plane containing the origian O and parallel to two non-collinear vectors `vec(OP) and vec(OQ) `

B

the surface of a sphere described on PQ as its diameter

C

a line passing through points P and Q

D

a set of lines parallel to line PQ

Text Solution

Verified by Experts

The correct Answer is:
c
`r (vecr)` moves on PQ
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CENGAGE PUBLICATION-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercises MCQ
  1. If hat a , hat b ,a n d hat c are three unit vectors, such that ha...

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  2. If vec a , vec b , vec c are unit vectors such that vec a. vec b=0= ...

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  3. about to only mathematics

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  4. Two adjacent sides of a parallelogram A B C D are 2 hat i+4 hat j-5 ...

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  5. If hat a , hat b ,a n d hat c are three unit vectors inclined to ea...

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  6. Let the pairs a , b,and c ,d each determine a plane. Then the planes a...

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  7. If vecr.veca=vecr.vecb=vecr.vecc=0 " where "veca,vecb and vecc are non...

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  8. If veca satisfies vecaxx(hati+2hatj+hatk)=hati-hatk" then " veca is eq...

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  9. Vectors 3 vec a-5 vec b and 2 vec a+ vec b are mutually perpendicular....

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  10. The unit vector orthogonal to vector -hat i+ hat j+2 hat k and maki...

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  11. The value of x for which the angle between vec a=2x^2 hat i+4x hat ...

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  12. If vectors vec aa n d vec b are two adjacent sides of a parallelogr...

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  13. A parallelogram is constructed on 2 vec a+ vec ba n d vec a-4 vec b...

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  14. Let vec adot vec b=0,w h e r e vec aa n d vec b are unit vectors and ...

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  15. If a \ a n d \ c are unit vectors and |b|=4 . The angel between aa n d...

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  16. Let the position vectors of the points Pa n dQ be 4 hat i+ hat j+lam...

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  17. A vector of magnitude sqrt(2) coplanar with the vector vec a= hat i+ ...

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  18. Let P be a point interior to the acute triangle A B Cdot If P A+P B...

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  19. G is the centroid of triangle ABC and A1 and B1 are the midpoints of...

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  20. Points vec a , vec b , vec c ,a n d vec d are coplanar and (s inalpha...

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