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If theta is the angle between vectors a ...

If `theta` is the angle between vectors a and b, then `|a xx b| = | a.b|`, then `theta` is equal to

A

0

B

`180^(@)`

C

`135^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The angle between (vecA xx vec B) and (vecB xx vecA ) is :

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  2. The angle between the vectors 2i+3j+k and 2i-j-k is

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  3. If theta is the angle between vectors a and b, then |a xx b| = | a.b|,...

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  4. If |a|=2, |b|=5 and |a xx b|=8, then what is a, b equal to ?

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  5. If a = 4i + 2j-5k, b =-12i-6j+15k, then the vectors a, b are

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  6. If a^(2) - b^(2)=0, then

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  7. If A =2i + 2j + 3k, B =-i+2j+k and C=3i+j, then A +t B is perpendicula...

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  8. if the vector x i+yj +zk makes an acute angle with the plane of the tw...

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  9. Consider the parallelopiped with sides bar(a)=3bar(i)+2bar(j)+bar(k),b...

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  10. The points A(1,1,2), B (3,4,2) and C(5,6,4) . The exterior angle of th...

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  11. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

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  12. Let vectors bara, barb, barc and bard be such that (baraxxbarb)xx(ba...

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  13. A plane p(1) is parallel to two vectors 2j + 3k and 4j-3k. Another pla...

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  14. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(ve...

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  15. Let the pair of vector veca,vecb and vecc,veccd each determine a plane...

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  16. In cartesian co-ordinates the points A is (x(1), y(1)) where x(1) = 1 ...

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  17. Vectors a and b makes an angle theta = (2pi)/(3) If |a| = 1, |b| = ...

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  18. Let veca, vecb, vec c form sides BC, CA and AB respectively of a tria...

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  19. The vector r is equal to

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  20. (r.i) (rxxi) + (r.j)(rxxx\j) + (r.k)(rxxk) is equal to

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