if (A+B) and (A_B) are perpendicular to each other then show that A and B are : .a. A=B .b. A not equal to B .c. A=B÷2 .d. 2A+B
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For two non-zero vectors A and B, perpendicular to each other the only relation which holds true is,
A . B = 0. Because,
A . B = | A | * | B | * Cos (A, B) =
A*B Cos 90° =A*B* 0=0,
Cos (A, B) stands for Cos of the angle between the vectors A and B.
A . B = 0. Because,
A . B = | A | * | B | * Cos (A, B) =
A*B Cos 90° =A*B* 0=0,
Cos (A, B) stands for Cos of the angle between the vectors A and B.
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