हिंदी

The vector equation r¯=i^-2j^-k^+t(6j^-k^), represents a line passing through points ______ -

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प्रश्न

The vector equation `overliner = hati - 2hatj - hatk + t(6hatj - hatk),` represents a line passing through points ______ 

विकल्प

  • (1, -2, -1) and (1, 4, -2)

  • (1, -2, -1) and (0, -6, 1)

  • (0, -6, 1) and (1, 2, -1)

  • (0, -6, 1) and (-1, 2, 1)

MCQ
रिक्त स्थान भरें

उत्तर

The vector equation `overliner = hati - 2hatj - hatk + t(6hatj - hatk),` represents a line passing through points (1, -2, -1) and (1, 4, -2).

Explanation:

The line passes through (1, -2, -1)

Let other points be (x2, y2, z2)

Direction ratio are 0, 6, -1.

∴ X2 - 1 = 0 ⇒ X2 = 1

Y2 - (-2) = 6 ⇒ Y2 = 4

Z2 - (-1) = -1 ⇒ Z2 = -2 

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Representation of Vector
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