If a b and c are three non zero vectors such that a b = 0 and a + b - Maths - Vector Algebra

Question

If a b and c are three non zero vectors such that a b = 0 and a + b
= c ,then write the relation between their magnitudes (1 mark)

Aarushi Mishra · Accepted Answer

a⇀
b⇀=0, since a→ and b⇀ are non-zero this means a→ must be perpendicular to b→c⇀=a⇀+b⇀, We can represent c⇀ in terms of a⇀ and b⇀ using triangle law of vecor addition

∆PQR is right angle trianglePQ=a→QR=b→PR=c→applying puthagoras theoremPR2=QR2+PQ2c→2=a→2+b→2

If a b and c are three non zero vectors such that a.b = 0 and a + b = c ,then write the relation between their magnitudes. (1 mark)