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If the vectors vec c , vec a=x hat i+y ...

If the vectors ` vec c , vec a=x hat i+y hat j+z hat ka n d vec b= hat j` are such that ` vec a , vec ca n d vec b` form a right-handed system, then find ` vec cdot`

A

`zi=xk`

B

0

C

`yj`

D

`-zi+xk`

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The correct Answer is:
A
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If alpha = 2i + 3j - k, beta = -i + 2j-4k, gamma = i+j+k then the valu...

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  2. If vec(r )=x hat(i)+y hat(j)+x hat(k), find : (vec(r )xx hat(i)).(vec...

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  3. If the vectors vec c , vec a=x hat i+y hat j+z hat ka n d vec b= hat ...

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  4. The vector a, b, c are equal in length and taken pairwise they mak equ...

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  5. vecA = (1, -1, 1), vecC = (-1,-1,0) are given vectors then the vector ...

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  6. The vector vecB = 3j + 4k is to be written as the sum of a vector vecB...

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  7. (3)/(2)(i+j)

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  8. and vecB(2) is

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  9. Let the position vectors of the points P, A and B be r,i+j+k and -i+k....

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  10. If a xx b = c xx b ne 0, then

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  11. a xx b = a xx c where (a ne 0) implies that

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  12. If a, b, c be non-zero vectors, then which of the following statements...

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  13. Three points with position vectors, a, b, c are collinear if

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  14. theta is the angle between two vectors a and b then a. b le 0 only if

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  15. If a, b, c be three non-zero vectors, then the equation a. b = a. c ...

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  16. If a. b = a . C and axx b = a xx c, then

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  17. If vec(a) and vec(b) are two vectors such that vec(a).vec(b) = 0 and v...

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  18. If a xx b = c and b xx c = a , then

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  19. If a.b = b.c = c.a = 0, then a.(bxxc)=

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  20. If p = a xx (b + c) + b xx (c + a) + c xx (a + b) q = a xx (b xx c) ...

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