Learn how to write the vector in component form given the magnitude and direction

The video tutorial explains how to express a vector in component form. It starts by introducing vector V, which has a magnitude of 14 and a direction of 55 degrees. The instructor then explains that component form does not directly use magnitude and direction, but rather uses a different form called direction and magnitude form. This form involves multiplying the magnitude by the cosine and sine of the angle. The tutorial concludes with a practical example of calculating the components using a calculator.

What is the magnitude of vector V as mentioned in the video?

• 55

• 20

• 10

• 14

Which form of a vector involves the cosine and sine of the angle?

• Scalar form

• Component form

• Linear combination form

• Direction and magnitude form

What is the angle used in the calculation of vector V's components?

• 60 degrees

• 30 degrees

• 45 degrees

• 55 degrees

How do you calculate the x-component of a vector given its magnitude and angle?

• Divide the magnitude by the cosine of the angle

• Multiply the magnitude by the cosine of the angle

• Divide the magnitude by the sine of the angle

• Multiply the magnitude by the sine of the angle

What is the role of the magnitude in the vector component calculation?

• It is divided by the angle

• It acts as a scalar multiplier

• It is subtracted from the angle

• It is added to the angle