Question

Find a unit vector in the direction of u and in the direction opposite that of u. u = (-4, 5, -3)?

Answer 1

To find a unit vector in the direction of u, divide u by its magnitude. To find the unit vector in the opposite direction of u, negate each component of the unit vector in the same direction of u.

Step-by-step explanation:

To find a unit vector in the direction of u, we need to divide u by its magnitude. The magnitude of u can be found using the formula: magnitude = sqrt((-4)^2 + 5^2 + (-3)^2). Once we have the magnitude, we can divide each component of u by the magnitude to get the unit vector in the same direction as u. To find the unit vector in the opposite direction of u, we just negate each component of the unit vector in the same direction of u.