VectorA=3i+4j and B=4i-3j show that VectorA&B are perpendicular to eachother?

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Answer 1 · 2018-06-28T12:24:07

Please see the explanation below.

Caculate the dot product

#veca= < p,q > #

#vecb= < r,s >#

#veca.vecb= < p,q > . < r,s >#

#=pr+qs#

Here, we have

#veca= <3, 4> #

#vecb= <4,-3>#

Therefore, the dot product is

#veca.vecb = <3, 4> . <4,-3>#

#=(3)*(4)+(4)*(-3)#

#=12-12#

#=0#

As the dot product is #=0#, the vectors are perpendicular.