If a and b are two vectors what does a . b( dot product) and a x b ( cross product) signify in 3d terms ? Pla explain with diagram Share with your friends Share 0 Neha Sethi answered this Dear student Studying vectors in 3D is a part of higher grade graduation.But for now we have the following. Let a→, b→ be two non zero non parallel vectors.Then the vector product orcross product a→×b→ is defined as:a→b→sinθ , where θ is the angle between a→ and b→ and whose direction is ⊥ to plane of a→ and b→ in such a way that a→,b→ and this direction constitutea right handed system.Or,a→×b→=a→b→sinθη^,where θ is the angle between a→ and b→ and η^ is a unit vector ⊥ to planeof a→ and b→ such that a→,b→,η^ forms a right handed system. Let a→ and b→ be two non zero non parallel vectors inclined at an angle θ.Then the scalar product of a→ with b→ is denoted by a→.b→ is defined asthe scalar a→b→cosθThus, a→.b→=a→b→cosθ Regards 1 View Full Answer Tanya Gupta answered this axb measures the area spanned by 2 3d vectors because in case of area of //gm we find |axb| 0
