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## Homework Statement

The equation for the line that goes through vector points A and B is

i - 5j - 7k + t(9i + 15j + 12k)

A is defined: i - 5j - 7k

B is defined: 10i + 10j + 5k

Find the position vector of point P such that OP is perpendicular to AB

## The Attempt at a Solution

well a.b = 0 to be perpendicular

but how does that help...

Im lost

Any ideas. My test is at 9am tomorrow (GMT). Can someone just explain the whole method for me.

Thanks