Posted by **Anonymous** on Saturday, July 27, 2013 at 11:06am.

Solve for x if the vectors (2, x, 7-x) and (x, 3, -2) are orthogonal

- linear algebra -
**Reiny**, Saturday, July 27, 2013 at 2:13pm
if orthogonal, then their dot product is zero

(2,x,7-x) . (x , 3, -2) = 0

2x + 3x - 14 + 2x = 0

7x = 14

x = 2

check:

(2,2,5).(2,3,-2) = 4 + 6 - 10 = 0

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