Question

what is angle between a+b. and a- b vectors​

Answer 1

Answer:

ANSWER

Given,

Two vectors A and B.

A and B are two vectors. So, their sum A+B lies in the same plane where A and B lie (Since they are non -parallel so they define a plane and the cross product between them is not zero.)

A×B=∣A∣∣B∣sinαn, where α is the angle between A & B and n is the unit vector perpendicular to the plane containing A & B. So, the angle between (A+B) and (A×B) is 90

0

.

Mathematically,

∣A+B∣∣A×B∣cosα=(A+B).(A×B)

=A.(A×B)+B.(A×B)

=B.(A×A)+A.(B×B)

=0+0

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Answer 2

Answer:

A- B = A + (-B). Angle between (A+B) and (A- B) can vary between 0 to 180 degrees depending on magnitude of B-> 0 (angle -> 0) and magnitude of A ->0 angle -> -180.