Motion in a Plane Moderate Questions and Answers

Motion in a Plane

If vectors A^{^→} = cos ωtî + sin ωtĵ and B^{^→} = cos ωt î + sin ωt ĵ are functions of time, then the value
2 2

of t at which they are orthogonal to each other is :

If vectors A^{^→} = cos ωtî + sin ωtĵ and B^{^→} = cos	ωt	î + sin	ωt	ĵ are functions of time, then the value
	2		2

A^{^→} . B^{^→} = 0 = cos ωt . cos	ωt	î + sin ωt . sin	ωt	ĵ
	2		2

t =	π
	2ω

t -	π
	4ω

So ,	ωt	=	π	∴ t =	π
	2		2		ω

So ,	ωt	=	π	∴ t =	π
	2		2		ω