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April 30, 2016
Posted by **Anonymous** on Tuesday, February 26, 2008 at 8:41pm.

Note: i, j and k are unit vectors

How would you solve this problem? Please walk me through?

- Math: Vectors -
**Reiny**, Tuesday, February 26, 2008 at 8:53pmTwo vectors are perpendicular if their dot product is zero

so you want a vector w = (a,b,c) so that

(a,b,c)∙(0,3,4) = 0 and

(a,b,c)∙(2,0,0) = 0

from the second 2a = 0, so a=0

from the first 3b+4c=0

or 3b=-4c

b/c = -4/3, if we let c=3 and b=-4 that would work

Notice there is more than one solution

as long as our vector w has direction (0,-4,3)