Question

Vector A starts at point (1,-1,-3) and ends at point (2,-1,0). Find a unit vector in the direction of A.

Answer 1

To find a unit vector in the direction of A, we calculate the magnitude of A and divide each component by the magnitude.

Step-by-step explanation:

To find a unit vector in the direction of A, we need to calculate the magnitude of A and divide each component of A by its magnitude. The magnitude of A can be found using the distance formula:

magnitude(A) = sqrt((2-1)^2 + (-1-(-1))^2 + (0-(-3))^2) = sqrt(1^2 + 0^2 + 3^2) = sqrt(10)

Dividing each component of A by its magnitude gives us:

unit vector in the direction of A = ((1/sqrt(10)), (-1/sqrt(10)), (3/sqrt(10)))