Question

If Vector A is (6, 4) and Vector B is (-2, -1), what is the resultant?

Answer 1

Answer:

(4, 3).

Explanation:

You just add the 2 components of the vectors.

(6,4) + (-2, -1) =  (6 + -2, 4 + -1)

= (4, 3).

Answer 2

Answer:

The resultant for given Vector A is (6, 4) and Vector B is (-2, -1) is 9.43.

Explanation:

The quantities which have both magnitude and direction is called vector.

The resultant is given by the formula:

$R=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Where,

R is resultant of the vectors A and B

$x_1$, $x_2$, $y_1$, and $y_2$ are the vertices of vectors.

Given that:

$x_1=6$

$x_2=-2$

$y_1=4$

$y_2=-1$

On substituting the given values in the above mentioned equation.

$\Rightarrow R=\sqrt{(-2-6)^{2}+(-1-4)^{2}}$

$\Rightarrow R=\sqrt{(-8)^{2}+(-5)^{2}}$

$\Rightarrow R=\sqrt{64+25}$

$\Rightarrow R=\sqrt{89}$

$\therefore R=9.43$

Therefore, resultant is 9.43 for the given vectors A and B.