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 丄 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 丄 OQ

Let's find $a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2}$
$(1) . (2) + (- 2) (3) + (1) (4)$ = 0
Since, $a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2}$ = 0
Therefore OP 丄 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 丄 OQ Let's find a1a2+b1b2+c1c2 (1).(2)+(−2)(3)+(1)(4) = 0 Since, a1a2+b1b2+c1c2 = 0 Therefore OP 丄 OQ.

The correct option is B
OP 丄 OQ

Let's find $a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2}$
$(1) . (2) + (- 2) (3) + (1) (4)$ = 0
Since, $a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2}$ = 0
Therefore OP 丄 OQ.