(Solved): Add the following pair of vectors: A = 14 at 90o, B = 4 at 25o. Give the resultant in both unit vect ...

Expert Answer

---

A resultant vector is the sum of two or more vectors. It is the vector that represents the combined effect of all the vectors. When we add two or more vectors, the outcome is the resultant vector.

Here are the steps on how to add two vectors:

Resolve each vector into its x and y components.

Add the x and y components of each vector to find the x and y components of the resultant vector.

Find the magnitude of the resultant vector using the Pythagorean theorem.

Find the direction of the resultant vector using the arctangent function.

Resolve A into its x and y components:

A(x) = 14   cos(90) = 0
A(y) = 14   sin(90) =14
Resolve B into its x and y components:

B(x) = 4  cos(25) = 3.321
B(y) = 4   sin(25) = 1.6
Add the x and y components of A and B to find the x and y components of the resultant vector:

R(x) = A(x) + B(x) =0 + 3.312 = 3.312
R(y) = A(y) + B(y) = 14 + 1.6 = 15.6