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Sedaia [141]
2 years ago
15

Help!!!!!!! v is a vector of magnitude 4 making an angle of 30° with the positive x-axis. find v in component form .

Mathematics
1 answer:
Elodia [21]2 years ago
5 0

Since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

To find vector v in component form, we need to know what a vector is

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>Component of a vector</h3>

A vector can be resolved into perpendicular components along the x, y and z axis.

<h3>Components of vector v</h3>

Since vector v has a magnitude of 4 making an angle of 30 with the positive x - axis, its x-component is V = (vcos30°)i

= (4cos30°)i

= (4 × √3/2)i

= 2√3i.

The y-component of v is V' = (vsin30°)j

= (4 × sin30°)j

= (4 × 1/2)j

= 2j

<h3>Vector v in component form</h3>

So, vector v in component form is v = V + V'

= 2√3i + 2j

So, since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

Learn more about vectors here:

brainly.com/question/25705666

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