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Find lambda such that the scalar product...

Find `lambda` such that the scalar product of the vector `vec i + vec j + vec k` with the unit vector parallel to the sum of the vectors `2 vec i + 4 vec j - 5 vec k` and `lambda vec i + 2 vec j + 3 vec k` is equal to 1.

A

5

B

2

C

3

D

1

Text Solution

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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. The vector (1)/(3) (2i - 2j + k) is

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  2. IF bara,barb,barc are three vectors such that each is inclined at an a...

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  3. Find lambda such that the scalar product of the vector vec i + vec j +...

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  4. If a = i + 2j - 3k, b = 3i - j + 2k, then angle between a + b and a - ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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