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The vector equation to the line passing ...

The vector equation to the line passing through the points 2i + j + 3k, -4i + 3j - k is

A

r = (1 - t) (-2i + 3j + 5k) + t(i + 2j + 3k)

B

r = (1 - t) (2i + j + 3k) + t(-4i + 3j - k)

C

r = (1 - t) (2i - 3j + 4k) + t(4i + 2j - 3k)

D

none

Text Solution

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The correct Answer is:
B
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A : The vector equation of the plane passing through the point 2i + 2j - 3k and parallel to the vectors 3i + 3j - 5k, i + 2j + k is r = 2i + 2j - 3k + s(3i + 3j - 5k) + t(i + 2j + k) R : The vector equation of the plane passing through the points a, b, c is r = (1 - s - t) a + sb + tc

A : The vector equation of the line passing through the point 2i + 3j - 4k and parallel to the vector 6 + 3j - 4k is r = (2i + 3j - 4k) + t(6i + 3j - 4k). R : The vector equation of the line passing through the point a and parallel to the vector b is r = a + tb

Find the vector equation of the plane passing through the points bar i - 2 bar j + 5 bar k, -5 bar j - bar k and - 3 bar i + 5 bar j .

Find the vector equation of the line passing through the points 2bar(i) + bar(j)+3bar(k), -bar(i)+3bar(j)-bar(k) .

Find the vector equation of the line passing through the points 2 bar(i)+bar(j)+3bar(k) and -4bar(i)+3bar(j)-bar(k) .

DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
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  3. The vector equation to the line passing through the points (-2, 3, 5),...

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  4. The vector equation to the line passing through the points 2i + j + 3k...

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  5. The vector equation to the line passing through the points a + 2b + 3c...

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  6. The cartesian equation of the line passing through the points 2i + j +...

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  7. The lineas r = (6 - 6s) a + (4s - 4) b + (4 - 8s) c and r = (2t - 1) a...

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  8. If the position vectors of A, B, C, D are 3bar(i)+2bar(j)+bar(k), 4bar...

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  9. Find the equation of the line parallel to the vector 2bar(i)-bar(j)+2b...

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  10. The vector equation of the plane passing through the point 2i + 2j - 3...

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  11. The vector equation of the plane passing through the point (1, -2, -3)...

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  12. The vector equation of the plane passing through the points (1, -2, 5)...

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  13. The vector equation of the plane passing through the points i + 2j + 5...

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  14. Subtract 3a−2b+4c from the sum of −2a+b−5c and 3a−2b+c

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  15. If a, b are two points then r = (1 - p) a + p b represents

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  16. If a, b, c are three noncollinear points then r = (1 - p - q) a + pb +...

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  17. If r = alpha a + beta b + gamma c represents a plane passing through t...

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  18. If r = alpha a + beta b + gamma c represents a plane passing through t...

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  19. The point of intersection of the lines l(1) : r(t) = (i - 6j + 2k) + t...

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  20. P, Q, R and S are four points with the position vectors 3bar(i)-4bar(j...

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