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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

P is a point on the line through the point A whose position vector is and the line is parallel to the vector . If , the position vector of P is

Answer: (B)

Solution

*(Figure: line through A (position vector ) parallel to ; two points P, one on each side of A, each at distance 6.)*

The unit vector along the line is , so

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Question ID VK-109692