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The direction cosines of vecA=-hati+2hat...

The direction cosines of `vecA=-hati+2hatj+3jhatk` is

A

`(1)/(sqrt14),(2)/(sqrt14),(3)/(sqrt14)`

B

`-(1)/(sqrt14),(2)/(sqrt14),(3)/(sqrt14)`

C

`(1)/(sqrt14),(-2)/(sqrt14),(3)/(sqrt14)`

D

`(-1)/(sqrt14),(2)/(sqrt14),(-3)/(sqrt14)`

Text Solution

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The correct Answer is:
B
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The vector parallel to the line of intersection of the planes vecr.(3hati-hatj+hatk) = 1 and vecr.(hati+4hatj-2hatk)=2 is : a) -2hati-7hatj+13hatk b) 2hati+7hatj-13hatk c) 2hati+7hatj+13hatk d) -2hati+7hatj+13hatk

TARGET PUBLICATION-SCALARS AND VECTORS-Evaluation Test
  1. The direction cosines of vecA=-hati+2hatj+3jhatk is

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  2. A force vec(F) = 4hat(i) + 3hat(j) - 2hat(k) is passing through the or...

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  3. Assertion: If vec(a) = hat(i) + 2hat(j) - 2hat(k), vec(b) = 2hat(i) + ...

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  4. Two forces of magnitudes 3 N and 5 N act at the same point on an objec...

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  5. If vec(A) is a vector of magnitude 3 units due east. What is the magni...

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  6. A body constrained to move in Y direction, is subjected to a force giv...

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  7. Choose the incorrect option. The two vectors vec(P) and (Q) are dra...

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  8. When vector hat(n) = ahat(i) + bhat(j) is perpendicular to (2hat(i) + ...

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  9. A force of -F hatk acts on O, the origin of the coordinate system. The...

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  10. If hat(i), hat(j) and hat(k) are unit vectors along x,y and z-axis res...

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  11. vec(A)and vec(B) are the two vectors such that ratio their dot product...

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  12. Two vectors vec(A) and vec(B) lie in plane, another vector vec(C ) lie...

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  13. A particle acted upon by constant forces 5hat(i) + hat(j) - 2hat(k) an...

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  14. The x and y components of vectors vec(A) are 4 m and 6 m respectively...

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  15. The angel subtended by the vector A = 6hat(i) + 3hat(j) + 4hat(k) with...

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  16. A particle moves in the x-y plane under the action of a force vec(F) s...

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  17. vec(A) and vec(B) are two vectors given by vec(A)=2hat(i)+3hat(j) ...

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  18. A vector vec(A) is along the positive x-axis and its vector product w...

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  19. What is the area of the triangle formed by sides vec(A) = 2hat(i) - 3h...

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  20. The component of vector vec(A) = a(x) hat(i) + a(y) hat(j) + a(z) hat(...

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