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Read the following passage and answer th...

Read the following passage and answer the questions. Consider the lines
`L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3)`
The unit vector perpendicualr to both `L_(1)` and `L_(2)` is

A

`(-hati + 7hatj + 7hatk)/(sqrt(99))`

B

`(-hati - 7hatj + 5hatk)/(5sqrt(3))`

C

`(ihati + 7hatj + 5hatk)/(5sqrt(3))`

D

`(7hati - 7hatj-hatk)/(sqrt(99))`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. (3)/(2)(i+j)

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  17. and vecB(2) is

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

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

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

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