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Straight lines OA and OB are drawn from ...

Straight lines OA and OB are drawn from the origin O, if the direction ratios of the lines OA and OB are 1, -1, -1 and 2, -1, 1 respectively then find the direction cosines of the normal to the plane AOB.

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The correct Answer is:
`-2/sqrt(14), -3/sqrt(14), 1/sqrt(14)` or `2/sqrt(14), 3/sqrt(14), -1/sqrt(14)`
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CHHAYA PUBLICATION-DIRECTION COSINES AND DIRECTION RATIOS-Exercise 3 : Short Answer Type Questions
  1. Show that the staright line joining the points (-1, 0, -2) and (1, 3, ...

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  2. Prove that the straight line joining the points (4, 5, 0) and (5, 3, 3...

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  3. Calculating the angle of the triangle, prove that the points A(3, 4, -...

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  4. Find the acute angle between x-axis and the straight line joining the ...

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  5. Calculating direction ratios show that the triangle formed by joining ...

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  6. Straight lines OA and OB are drawn from the origin O, if the direction...

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  7. Find the coordinates of the foot of the perpendicular drawn from the p...

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  8. Determine the values of a and b for which the straight line joining th...

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  9. If the straight line joining the points (4, -3, 2) and (3, -1, 5) is p...

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  10. Find the acute angle between two straight lines whose direction number...

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  11. Let A(2, -3, -1), B(4, 5, 2), C(-3, 4, 1) and D(2, 3, 5) are four give...

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  12. Using direction ratios prove that the points (4, 2, -6), (5, -3, 1), (...

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  13. Using direction numbers show that points P(4, 7, 8) and Q(2, 3, 4), R(...

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  14. Let l(1), m(1), n(1) and l(2), m(2), n(2) be the direction ratios of t...

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  15. Let P(-9, 4, 5) and Q(11, 0, -1) be two given points. If O be the orig...

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  16. Let A(-2, 0, 3), B(0, 3, -3), C(3, 3, 5) and D(5, 4, 3) be four given ...

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  17. Find the acute angle between the two straight lines whose direction co...

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  18. Find the angle between the two straight lines whose direction cosines...

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  19. Find the angle between the two straight lines whose direction cosines...

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  20. Find the acute angle between the two straight lines whose direction co...

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