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If OP=8 and OP makes angles 45^(@) and 6...

If OP=8 and OP makes angles `45^(@) and 60^(@)` with OX-axis and OY-axis respectively, then OP is equal to

A

`12 (sqrt(2)i+hatjpm hatk)`

B

`6(sqrt(2)hati+hatjpm hatk)`

C

`3(sqrt(2)hati+hatj pm hatk)`

D

`2(sqrt(2)i+hatj pm hatk)`

Text Solution

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The correct Answer is:
B
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
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  2. If |baru|=3 and baru is equally inclined to the unit vectors hati, hat...

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

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

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  5. The number of lines which are equally inclined to the axes is :

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  7. If the direction cosines of bar(AB) are (-2)/(sqrt(17)), (3)/(sqrt(17)...

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  8. If OP = 21 and direction cosines of bar(OP) are (2)/(7),(6)/(7), (-3)...

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  9. The ratio in which the line joining points (2, 4, 5) and (3, 5, -4) di...

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  10. XY-plane divides the line joining the points (2, 4, 5) and (-4, 3, -...

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  11. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

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  12. उस बिंदु के निर्देशांक ज्ञात कीजिए जहाँ बिंदुओं A(3, 4, 1 ) और B(...

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  13. The co-ordinate of the point in which the line joining the points (3, ...

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  14. The point which divides the line joining the points (2, 4, 5) and (3, ...

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  15. The distance of point (1, 2, 3) from X-axis is

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  16. Perpendicular distance of point (3, 4, 5) from Y-axis is

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  17. The points (2, -1, -1), (4, -3, 0) and (0, 1, -2) are

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  18. The points (-7, 4, -2), (-2, 1, 0) and (3, -2, 2) are

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  19. If the points (6, -1, 2), (8, -7, lambda) and (5, 2, 4) are collinear ...

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  20. If the points (5, 2, 4), (6, -1, 2) and (8, -7, k) are collinear, then...

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