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If bar = hat i + hat j and bar b = 2 hat...

If `bar = hat i + hat j` and `bar b = 2 hat i - hat k` then the intersection piont of the lines ` bar r xx bar a = bar b xx bar a ` and `bar r xx bar b = bar a xx bar b` is .............

A

`hat i + hat j - hat k`

B

`hati - hat j + hat k`

C

`3 hat(i) hat j - hat k`

D

`3 hat i - hat j + hat k `

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The correct Answer is:
C
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
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  2. The vector equation of the line joining the pionts hat(i) - 2hat (j)+ ...

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  3. If bar = hat i + hat j and bar b = 2 hat i - hat k then the intersect...

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  4. The co-ordinats of a point on the line passing through the pionts (1,-...

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  5. The equation of the line passing through hat i + 3 hat j + 2 hat k a...

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  6. The shortest distance of the lines bar r1 = 4 hat i -3 hat j - hat k +...

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  7. The direction cosines of the line drawn from P(-5,3,1) and Q(1,5,-2) i...

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  8. The angle between the two diagonals of a cube is .....

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  9. The angle between the two diagonals of a cube is .....

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  10. A line makes the angle alpha, beta , gamma and delta with the diagonal...

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  12. The projection of a line on the axes are 9,12, and 8. The length of th...

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  13. The straight lines whose direciton cosines are given by al + bm + cn =...

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  14. The foot of perpendicular drawn from the point P(1,0,2) on the line (x...

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  15. The foot of perpendicular drawn from the point P(1,0,2) on the line (x...

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  16. Prove that if the lines x = ay + b, z = cy + d and x = a'y + b', z = c...

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  17. The lines (x-1)/(3) = (y-1)/(-1) = (z+1)/0 and (x-4)/(2) = (y+0)/(0) =...

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  18. The equation of motion of a point in space is x = 2t, y = -4 t, z=4t ...

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  19. The distance of the point P (4,3,5) from Y-axis is lambda then 5lambda...

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  20. A line makes an angle of measure alpha with X-axis and Y-axis cot alph...

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