A vector b starts at M and ends at N. Express the vector b in terms of i and j.

M = (-10, -3), N = (9, 4)

Find the magnitude and direction angle of the vector "a" given below. Express your answer to one decimal place.

a = -14i + 21j

Two forces of 108 and 128 lb act on a point in the passenger train. Calculate the magnitude of the resultant force if the angle between them is 155° 40'.

A vector $a$ starts at $P_1$ and ends at $P_2$. Express the vector $a$ in terms of $i$ and $j$.

$P_1=(-21,-28)$, $P_2=(0,-8)$

A vector $u$ has a magnitude of $12$ and makes an angle of ${60}^{\circ }$ with the positive $x$-axis. Write the vector $u$ in terms of $i$ and $j$.

Find the magnitude and direction angle of the vector a given below. Express your answer to one decimal place.

$a=(31i-17j)-(25i-17j)$

For the given vector, calculate its magnitude and direction angle. Express your answer to the nearest tenth, if required.

$〈-16,63〉$

Are the vectors a and b orthogonal?

a = 11i - 11j, b = -3i + 3j

Determine the specified vector using the given information. 

a = 3i -8j, b = 2i +6j and c = -8j

proj_a(b +c)

Are the following vectors orthogonal?

$〈13, 13〉, 〈13, -13〉$