Question

If vx = 7.60 units and vy = -6.60 units, determine the magnitude of v⃗ .

Answer 1

Answer:

|v| = 10.06 units

Step-by-step explanation:

It is given that,

The x component of the vector is, $v_x=7.6\ units$

The y component of the vector is, $v_y=-6.6\ units$

We need to find the magnitude of vector v. The magnitude of any vector is calculated as :

$|v|=\sqrt{v_x^2+v_y^2}$

$|v|=\sqrt{(7.6)^2+(-6.6)^2}$

|v| = 10.06 units

So, the magnitude of vector v is 10.06 units. Hence, this is the required solution.

Answer 2

To find the magnitude of a vector, take the components, square them, then add them, then take the square root. This is very similar to the Pythagorean Theorem.

For your particular problem, I’ve included a picture showing how that specific calculation is done. :)