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If the positive numbers a, b and c are the pth, qth and rth terms of GP, then the vectors loga. `hati+lob.hatj+logc.hatk and (q-r)hati+(r-p)hatj+(p-q) hatk` are

A

`pi/6`

B

`pi/4`

C

`pi/3`

D

`pi/2`

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The correct Answer is:
D
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -2 : CONCEPT APPLICATOR
  1. veca, vecb ,vec c are three vectors with magnitude |veca| = 4, |vecb|...

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  2. If the two adjacent sides of two rectangles are represented by vect...

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  3. OA, OB, OC are the sides of a rectangular parallelopiped whose diagona...

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  4. If the positive numbers a, b and c are the pth, qth and rth terms of G...

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  5. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

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  6. Let vecOB = hati + 2hatj + 2hatk " and" vecOA = 4hati + 2hatj + 2hatk ...

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  7. If a1 , a2 and a3 are three numbers satisfying a1^2 + a2^2 +a3^2 = 1 ,...

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  8. Let veca , vecb and vec c be non coplanar unit vectors equally incl...

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  9. Let veca , vecb, vec c be three non coplanar vectors , and let vecp ,...

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  10. Let veca= 2hati+hatj -2hatk and vecb=hati+hatj. If vec c is a vecto...

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  11. Let vec r , vec a , vec b and vec c be four non zero vectors such tha...

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  12. Let vec r = (veca xx vecb) sin x + (vecb + vec c) cos y + 2 (vec c xx...

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  13. A girl walks 4 km towards west, then she walks 3 km in a direction 30...

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  14. If vec a+vec b+vec c=0, prove that (vec a xx vec b)=(vec b xx vec c)=(...

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  15. If |vec a + vecb| = |vec a - vecb| , then which one of the following i...

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  16. The resultant of forces vecP and vec Q is vecR . If vec Q is doubled t...

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  17. If vec b is a vector whose initial point divides thejoin of 5 hat ...

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  18. A body travels a distance s in t seconds. It starts from rest and ends...

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  19. Two particles start simultaneously from the same point and move along ...

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  20. vec p , vec q ,a n d vec r are three mutually perpendicular vectors of...

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