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

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

A

orthogonal

B

parallel

C

non-coplanar

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If theta is the angle between vectors a and b, then |a xx b| = | a.b|,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The vector r is equal to

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

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  19. If a + 2b + 3c= 0, then axxb + bxxc+c xxa is equal to

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  20. If veca=4i+6jand vecb=3j+6k vector form of the component of a along b ...

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