Question

prove that A=2i+3j and B=6i-4j are perpendicular to each other​

Answer 1

Answer:

A⃗ =2ı^+3ȷ^

B⃗ =6ı^−4ȷ^

|A⃗ |=22+32−−−−−−√=13−−√

|B⃗ |=62+42−−−−−−√=52−−√

Acc,

A⃗ ⋅B⃗ =|A⃗ ||B⃗ |cosθ

⟹(2ı^+3ȷ^)⋅(6ı^−4ȷ^)=13−−√×52−−√cosθ

⟹12−12=676−−−√cosθ

⟹26cosθ=0

⟹cosθ=0

⟹θ=π2c