The magnitude of the projection of the vector 2 i ^ + 3 j ^ + k ^ on the vector perpendicular to the plane containing the vectors i ^ + j ^ + k ^ and i ^ + 2 j ^ + 3 k ^ , is:

Question

Aicharya · Accepted Answer

Vector perpendicular to i ^ + j ^ + k ^ and i ^ + 2 j ^ + 3 k ^ = i ^ j ^ k ^ 1 1 1 1 2 3 = i ^ - 2 j ^ + k ^ &#8756; Required projection = | ( 2 i ^ + 3 j ^ + k ^ ) &#8901; &#8201; ( i ^ - 2 j ^ + k ^ ) | | i ^ - 2 j ^ + k ^ | = | 2 - 6 + 1 | 6 = 3 6 = 3 2

The magnitude of the projection of the vector 2 i ^ + 3 j ^ + k ^ on the vector perpendicular to the plane…

Solution