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If the vector 2 hati-3hatj+7 hatk makes ...

If the vector `2 hati-3hatj+7 hatk` makes angles `alpha, beta, gamma` with the co-ordiante axes respectively, then the direction cosine of vector are

A

`(-2)/(sqrt(62)), (3)/(sqrt(62)), (-7)/(sqrt(62))`

B

`(2)/(sqrt(62)), (-3)/(sqrt(62)), (7)/(sqrt(62))`

C

`(-2)/(sqrt(31)), (3)/(sqrt(31)), (-7)/(sqrt(31))`

D

`(2)/(sqrt(31)), (-3)/(sqrt(31)), (7)/(sqrt(31))`

Text Solution

Verified by Experts

The correct Answer is:
B
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. If P-=(3, 4, -12), then the direction cosines of bar(OP) are

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  2. The direction cosine of vector 3 hati+4hatj+5hatk in the direction of...

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  3. If the vector 2 hati-3hatj+7 hatk makes angles alpha, beta, gamma with...

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  4. The position vectors of points A and B are hati+3hatj-7 hatk and 5hati...

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  5. The direction cosines of a line parallel to the line (x+1)/(2)=(y)/(-...

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  6. The line joining the points -2,1,-8)a n d(a ,b ,c) is parallel to t...

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  7. If the line segment joining the points A(7, p, 2) and B(q, -2, 5) be ...

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  8. The line joining the points (4, 1, 2) and (5, p, 0) is parallel to the...

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  9. If A(-1, 2, -3), B(5, 0, -6) and C(0, 4, -1) are the vertices of tria...

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  10. A line passes through the points (3, 1, 2) and (5, -1, 1) . Then the ...

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  11. A line passes through the point (3, 1,2) and (5,-1,1), find the direct...

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  12. Direction cosines of the line passing through the points A(-4, 2, 3) a...

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  13. Direction cosines of the line passing through the points A(-4, 2, 3) a...

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  14. If a line has the direction ratios 4, -12, 18, then its direction cos...

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  15. If a line has the direction ratios -1, 2, 3, then its direction cosin...

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  16. The direction cosines of a line whose direction ratios are 1, -2, 3 ar...

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  17. If |bar r|=9 and bar r is equally inclined to the co-ordinate axes, th...

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  18. If |baru|=3 and baru is equally inclined to the unit vectors hati, hat...

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  19. If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...

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  20. If vector r wiith dc's l,m,n is equally inclined to the coordinate axe...

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