Question: Show that, given two vectors A and B, (a) The vector C defined as the vector component of B in the direction of A is

Show that, given two vectors A and B,
(a) The vector C defined as the vector component of B in the direction of A is given by

Where a is the unit vector of A, and
(b) The vector D defined as the vector component of B perpendicular to A is given by
D = B €“ A (B.A)/|A|2.

A(B A) C = â(B- à) = |A|2

A(B A) C = (B- ) = |A|2

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