CUET Mathematics - The vector equation of the line passing through points A(3,4,-7) and B(1,-1,6) is | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 1

Algebra

Medium

core

$\vec{x} = 3\vec{i} + 4\vec{j} - 7\vec{k} + \lambda(\vec{i} - \vec{j} + 6\vec{k})$

$\vec{x} = (3 - 2\lambda)\vec{i} + (4 - 5\lambda)\vec{j} + (-7 + 13\lambda)\vec{k}$

$\vec{x} = \vec{i} - \vec{j} + 6\vec{k} + \lambda(3\vec{i} + 4\vec{j} - 7\vec{k})$

$\vec{x} = (-2 + 3\lambda)\vec{i} + (-5 + 4\lambda)\vec{j} + (13 - 7\lambda)\vec{k}$

✅ Correct Option: 2

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CUET Mathematics 2025 13 May Shift 1 PYQs

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