Want to ask us a question? Click here
Browse Questions
 Ad
0 votes

# If $P(2,3,4)\;and\:Q(1,b,1)$ are two points and $O$ is origin such that $OP$ is $\perp$ to $OQ$, then $b=?$

$(a)\:\:0\:\:\:\qquad\:\:(b)\:\:2\:\:\:\qquad\:\:(c)\:\:-2\:\:\:\qquad\:\:(d)\:\:No\:real\:value.$

Can you answer this question?

## 1 Answer

0 votes
Given points are $P(2,3,4)\:\:and\:\:Q(1,b,1)$
$\Rightarrow\:\overrightarrow {OP}=(2,3,4)$ and $\overrightarrow {OQ}=(1,b,1)$
Given: $\overrightarrow{OP}$ is $\perp$ to $\overrightarrow {OQ}$
$\Rightarrow\:\overrightarrow{OP}.\overrightarrow {OQ}=0$
$\Rightarrow\:2+3b+4=0\:\:or\:\:b=-2$
answered Jan 10, 2014

0 votes
1 answer

0 votes
1 answer

0 votes
1 answer

0 votes
1 answer

0 votes
1 answer

0 votes
1 answer

0 votes
1 answer