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Let vec(a) = hat(i) + hat(j) + hat(k), v...

Let `vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat(k)` ` and `vec(c) = xhat(i) + (x-2)hat(j) - hat(k)`. If the vector `vec(c)` lies in the plane of `vec(a)` & vec(b)`, then x equals

A

0

B

1

C

`-4`

D

`-2`

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The correct Answer is:
D
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If a = i + 2j - 3k, b = 3i - j + 2k, then angle between a + b and a - ...

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  2. If a = 2i + 3j + 6k, b=3i - 6j + 2k then a xx b is a vector

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  3. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat...

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  4. Number of vectors ofunit length perpendicular to vectors bara equiv (1...

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  5. A unit vector normal to the plane through the point i,2j,3k is :

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  6. A, B and C are three vectors given by 2hat(i)+hat(k), hat(i)+hat(j)+ha...

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  7. Let a-i+j and b=2i-k.The point of intersection of the lines r times a=...

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  8. Given a=i+j-k, b=-i+2j+k" and "c=-i+2j-k. A unit vector perpendicular ...

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  9. Find vectors perpendicular to the plane of vectors a=2i-6j+3k" and "b=...

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  10. Read the following passage and answer the questions. Consider the line...

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  11. The unit vector perpendicular to vector i -j and i + j forming a righ...

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  12. If the position vectors of three points A, B, C are respectively i+j+k...

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  13. A unit vector normal to the plane through the point i,2j,3k is :

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  14. A unit vector making an obtuse angle with x-axis and perpendicular to ...

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  15. The unit vector bot to each of the vector 2i-j+k and 3i+4j-k is

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  16. If A = 2i + 2j-k, B=6i-3j+k,then AxxB will b given by

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  17. If alpha = 2i + 3j - k, beta = -i + 2j-4k, gamma = i+j+k then the valu...

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

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

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