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Let vec(A) = 2hat(i) + hat(k), vec(B) = ...

Let `vec(A) = 2hat(i) + hat(k), vec(B) = hat(i) + hat(j) + hat(k)` and `vec(C) = 4hat(i) - 3hat(j) + 7hat(k)`. Determine a vector `vec(R)` satisfying `vec(R) xx vec(B) = vec(C) xx vec(B)` and `vec(R).vec(A) = 0`

A

`-2hati + hatk`

B

`-hati - 8hatj + 2hatk`

C

`(1)/(sqrt6) (hati -hatj + 2hatk)`

D

none of these

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The correct Answer is:
B
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. veca=3hati-5hatj and vecb=6hati+3hatj are two vectors and vec c is a v...

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  2. Vectors veca and vec b are inclined at an angle theta = 120^@ . If |ve...

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  3. For any vector vecp , the value of 3/2 { |vecp xx hati|^2 + |vecp ...

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  4. If (vec a xx vec b)^2 + (veca .vecb)^2 = 676 and |vecb| = 2, then |ve...

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  5. What is the interior acute angle of the parallelogram whose sides are ...

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  6. Area of rectangle having vertices A, B , C and D with position vector ...

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  7. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

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  8. Let veca, vecb, vec c such that |veca| = 1 , |vecb| = 1 and |vec c | ...

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  9. |(a xx b).c | = |a||b||c| , if

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  10. If veca = hati +hatj , vecb = 2hatj - hatk " and " vecr xx veca = ve...

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  11. Let veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+...

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  12. If veca, vecb, vec c are three non coplanar vectors , then the value ...

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  13. Let vec(A) = 2hat(i) + hat(k), vec(B) = hat(i) + hat(j) + hat(k) and ...

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  14. A particle is acted upon by constant forces 4hati +hatj - 3hatk and 3h...

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  15. Force hati + 2hatj -3hatk , 2hati + 3hatj + 4hatk and -hati - hatj + ...

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  16. The resultant moment of three forces hati + 2hatj -3hatk, 2hati + 3hat...

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  17. If ((veca xx vec b ) xx (vec c xx vec d)).(vec a xx vec d)= 0 , then ...

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  18. A force vecF = (hati - 8hatj - 7hatk) is resolved along the mutually p...

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  19. Find the moment about the point hat i+ 2hat j+ 3hat k of a force repr...

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  20. Two forces whose magnitudes are 2N and 3N act on a particle in the dir...

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