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Question
The vector equation `overliner = hati - 2hatj - hatk + t(6hatj - hatk),` represents a line passing through points ______
Options
(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
Fill in the Blanks
Solution
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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