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u = q-r, r-p, p-q and v = (1)/(a),(1)/(b...

`u = q-r, r-p, p-q and v = (1)/(a),(1)/(b),(1)/(c)`. If `a,b, c` be `T_(p),T_(q),T_(r)` of an H.P. respectively. Then the vectors u and v are connected by the relation

A

parallel

B

orthogonal

C

dot productt = 1

D

cross product ` = i+j+k`

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 a xx b = c xx d and a xx c = b xxd, then

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  2. If a and b include an angle of 120^(@) and their magnitudes are 2 and ...

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  3. u = q-r, r-p, p-q and v = (1)/(a),(1)/(b),(1)/(c). If a,b, c be T(p)...

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  4. In a G.P. T(p) = a, T(q) = b and T(r) = c where a, b, c are +ive then...

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  5. The angle between (vecA xx vec B) and (vecB xx vecA ) is :

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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