Question

More Vector Components from
Magnitude and Angle
The vector below has a magnitude of a at
an angle of 0.
a
Magnitude and Angle from Vector
Components
4
0/1 point
Calculate the x-component of the vector if the
magnitude is 10 at an angle of 18.
(no answer)
5
6
X
0/1 point
Calculate the y-component of the vector if the
magnitude is 19 at an angle of 25.
X
-8.03
0/1 point

Answer 1

Answer: Given:

Magnitude (a) = 10

Angle = 18 degrees

To find the x-component of the vector, we use trigonometric functions. The x-component can be calculated using the formula:

x-component

=

Magnitude

×

cos

(

Angle

)

Substitute the values:

x-component

=

10

×

cos

(

18

∘

)

x-component

=

10

×

0.9511

x-component

=

9.511

Therefore, the x-component of the vector is 9.511.

Calculate the y-component of the vector:

Given:

Magnitude = 19

Angle = 25 degrees

To find the y-component of the vector, we use trigonometric functions. The y-component can be calculated using the formula:

y-component

=

Magnitude

×

sin

(

Angle

)

Substitute the values:

y-component

=

19

×

sin

(

25

∘

)

y-component

=

19

×

0.4226

y-component

=

8.03

Therefore, the y-component of the vector is 8.03.

Explanation: