- #1

Einstein

- 13

- 1

**"simple" vector problem**

I need help on the second part of this question:

The points A and B have position vectors (4

__i__-11

__j__+4

__k__) and (7

__i__+

__j__+7

__k__) respectively.

a) Find vector equation of the line passing through the two points in terms of a parameter t.

My answer:

__r__= 4

__i__-11

__j__+4

__k__+ t(3

__i__+12

__j__+

__k__)

b) Find the position vector of the point P on AB such that OP is perpendicular to AB where O is the origin.

I have attempted this many times but I do not know how to start. Can anyone please tell me how to. I am on the level capable of understanding scalar and dot product and converting vector equations into cartesian equations so i appreciate if you can keep it as simple as this (not too complex) and understandble. Thanks. By the way the answer to b) is 6

__i__-3

__j__+6

__k__

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