Question

For two vectors A and B if À + B = Ĉ and
A + B = C, then prove that A and B are parallel to
each other.​

Answer 1

Answer:

Explanation:

For 2 vectors A and B,

A+B=C,

or,|A+B|=|C|,

or,√A²+B²+2AB cos θ=C,

or,A²+B²+2AB cos θ=C²,

given,A+B=C,

so,C²=(A+B)²using it in above expression.

or, A²+B²+2AB cos θ =(A+B)²,

or,A²+B²+2AB cos θ=A²+B²+2AB,

or,2AB cos θ=2AB,

or, cos θ=1=cos 0°,

and angle between A and B is zero. means, vector A and vector B are parallel to each other.

Hope it helps you.