Given the vectors M = −10 ax + 4 ay − 8 az and N = 8 ax + 7ay − 2 az, find:

a) a unit vector in the direction of −M +2N,
b) the magnitude of 5 ax + N − 3M, c) |M||2N|(M+ N). solution

a) , b) , c)

Explanation:

a) The resultant vector is obtained by summing all components:

Its magnitude is determined herein:

Unit vector in the given direction is:

b) The resultant vector is obtained by summing all components:

Its magnitude is determined herein:

c) Magnitudes of and are, respectively:

The sum of both vectors is:

Finally, the resultant is:

b. check your rearview mirror

explanation: