Q. 7 B5.0( 2 Votes )

# Find the vector w

Given two vectors and We need to find vector of magnitude 3 that is perpendicular to and .

Recall a vector that is perpendicular to two vectors and is Here, we have (a1, a2, a3) = (3, 1, –4) and (b1, b2, b3) = (6, 5, –2)    Recall the magnitude of the vector is Now, we find .   Let the unit vector in the direction of be .

We know unit vector in the direction of a vector is given by .   So, a vector of magnitude 3 in the direction of is   Thus, the vector of magnitude 3 that is perpendicular to both and is .

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