Question: Show that if a is any vector and u any unit vector then and draw a diagram to illustrate this relation geometrically. The vector (3,

Show that if a is any vector and û any unit vector then

and draw a diagram to illustrate this relation geometrically. The vector (3, –2, 6) is resolved into two vectors along and perpendicular to the line whose direction cosines are proportional to (1, 1, 1). Find these vectors.

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