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Given a=i+j-k, b=-i+2j+k" and "c=-i+2j-k...

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

A

i

B

j

C

k

D

`(I + j + k)//sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. A, B and C are three vectors given by 2hat(i)+hat(k), hat(i)+hat(j)+ha...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. (3)/(2)(i+j)

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  19. and vecB(2) is

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

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