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If r = xi + yj + zk then (r xx i) .(r xx...

If r = xi + yj + zk then `(r xx i) .(r xx j) + xy` =

A

0

B

1

C

xy

D

`I xx j`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1B Cross Product of Vectors
  1. If a = I + 2j - 3k, b = 2i + j + k, c = I + 3j - 2k then (a xx b) xx (...

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  2. 2i xx (3i - 4k) + (I + 2j) xx k =

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  3. If r = xi + yj + zk then (r xx i) .(r xx j) + xy =

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  4. If |a| = 1, |b| = 2 and the angle between a and b is 120, then {(a + 3...

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  5. (a + b) xx c + (b + c) xx a + (c + a) xx b =

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  6. If |a xx b| = |a.b| then (a,b) =

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  7. If a and b are unit vectors and a xx b = 1, then the angle between a a...

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  8. If a and b are unit vectors such that |a xx b| = a.b, then |a + b|^(2)...

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  9. If a + b + c = 0 then

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  10. Let a,b,c represent respectively BC, CA and AB where ABC is a triangle...

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  11. If a.b = a.c, a xx b = a xx c then

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  12. If a.b = a.c, a xx b = a xx c then

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  13. a != 0, b != 0, C != 0, a xx b = 0, b xx c implies a xx c =

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  14. If a xx b = b xx c != 0, then a + c =

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  15. If a xx b = c xx d, a xx c = b xx d then

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  16. If a,b,c be unit vectors such that a.b = a.c = 0 and the angle between...

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  17. Let u = I + j, v = I - j, w = I + 2j + 3k. If n a unit vector such tha...

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  18. If u and v are unit vectors and theta is the acute angle between them,...

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  19. If r. a = r.b = r.c = 0 where a,b,c are noncoplannar, then

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  20. If a is any vector then (a xx i)^(2) + (a xx j)^(2) + (a xx k)^(2) =

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