If the co-ordinates of the points P and Q be 1-2-1 and 2-3-4 and O be the origin- thenA- O P-O QB- OP - OQC- OP OQD- None of these

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Byju's Answer

Standard XII

Mathematics

Condition for Two Lines to Be Perpendicular

If the co-ord...

Question

If the co-ordinates of the points P and Q be (1, -2, 1) and (2, 3, 4) and O be the origin, then

OP = OQ

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OP || OQ

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None of these

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Solution

The correct option is B OP $⊥$ OQ
$a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0$ , so OP $⊥$ OQ.

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If the co-ordinates of the points P and Q be (1, -2, 1) and (2, 3, 4) and O be the origin, then

The correct option is B OP ⊥ OQa1a2+b1b2+c1c2=0, so OP ⊥ OQ.

The correct option is B OP $⊥$ OQ
$a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0$ , so OP $⊥$ OQ.