given the points: N(-7,4) YW=(9,11), determine the unit vector of the vector WN
Accepted Solution
A:
we can find the vector WN by subtracting the coordinates of point N from the coordinates of point W:
WN = (9-(-7), 11-4) = (16, 7)
To find the unit vector of the vector WN, we need to divide the vector by its magnitude. The magnitude of the vector WN can be found using the distance formula:
||WN|| = sqrt[(16)^2 + (7)^2] = sqrt(305)
Therefore, the unit vector of the vector WN is:
WN/||WN|| = (16/sqrt(305), 7/sqrt(305))