Someone please help me with this question?
Find a unit vector u that is orthogonal to a and b where
a = −3 i − 8 j + 3 k and b = −7 i − 2 j + 5 k
u= ?
Find a unit vector u that is orthogonal to a and b where
a = −3 i − 8 j + 3 k and b = −7 i − 2 j + 5 k
u= ?
1 Answer
Explanation:
The easiest way to find a 3D vector orthogonal to two others is a cross product. We can express this with a matrix
Since we want it to have unit magnitude, we can divide it by -2 just to clean up the numbers:
To make unit magnitude, we only need to divide by the magnitude, which is
so the normalized vector is