1.

For any two non-zero vectors a and b, |a|b+|b|a and |a|b-|b|a are

Answer»

parallel
PERPENDICULAR
non-parallel
None of these

Solution :Let `P=|a|B+|b|a andq=|a|b-|b|a`
THUS ` p.q =(|a|b+|b|a)`
` =|a|^(2)(b.b)-|a||b|(b.a)+|b||a|(a.b)-|b|^(2)|a|^(2)(a.a)`
`=|a|^(2)|b|^(2)-|a||b|(a.b)+|a||b|(a.b)-|b|^(2)|a|^(2)=0`
`implies p BOT q [:' ifC.d =0implies c ` isperpendicular to d ]
Hence,|a| `b+|b| a and|a|b-|b|a` areperpendiculartoeachotherfor any non-zerovectors a andb.


Discussion

No Comment Found

Related InterviewSolutions