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For any vector veca the value of (vecaxx...

For any vector `veca` the value of `(vecaxxhati)^2+(vecaxxhatj)^2+(vecaxxhatk)^2` is equal to (A) `4veca^2` (B) `2veca^2` (C) `veca^2` (D) `3veca^2`

A

`3 veca^2`

B

`veca^2`

C

`2vec a^2`

D

`4 vec a^2`

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The correct Answer is:
C
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. The two vectors (x^2 - 1)hati +(x+2)hatj + x^2 hatk and 2hati -xhatj +...

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  2. The value of 'a' for which the points A, B,C with position vectors ...

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  3. For any vector veca the value of (vecaxxhati)^2+(vecaxxhatj)^2+(vecaxx...

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  4. If (veca xx vecb) xx vecc = vec a xx (vecb xx vecc), where veca, vecb ...

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  5. veca=3hati-5hatj and vecb=6hati+3hatj are two vectors and vec c is a v...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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