Vectors> The angle between A vector +B vector and ...

The angle between A vector +B vector and A vector × B vector is ________

Mathan , 6 Years ago

Grade 11

2 Answers

Sai Gopesh Rayudu Mellamputi

Last Activity: 6 Years ago

Geometrically, A+B yields a vector in the plane of A and B according to the parallelogram law of vector addition. Also, from the right hand thumb rule, cross product of the two vectors would be a vector out of their plane, and also perpendicular to each.
So the angle between the two said expressions is a right angle.

Rajdeep

Last Activity: 6 Years ago

Considering two vectors A and B,

the cross product is always perpendicular to the plane in which A, B and A+B lies.

This can be found out by using the Right Hand Thumb Rule.

Given: A x B

Rules:

Use your right hand.
Place your hand along the direction of the first vector (here, A).
Rotate your fingers along the smaller angle between A and B.
The direction of your thumb will point outwards or inwards, which denotes perpendicular to the plane of the two vectors.

Thanks!