Given the magnitude and direction of a vector write in component form

The video tutorial explains how to calculate a vector's magnitude and direction using trigonometry. It starts by introducing the concept of vector magnitude and direction, followed by a practical problem involving distance calculation. The tutorial then demonstrates how to use trigonometric functions like cosine and sine to calculate vector components. Finally, it discusses simplifying vector notation and rounding results.

What are the given values for the vector's magnitude and direction?

• Magnitude: 8, Direction: 30 degrees

• Magnitude: 10, Direction: 20 degrees

• Magnitude: 12, Direction: 18 degrees

• Magnitude: 15, Direction: 25 degrees

How should the journey from point A to point B be expressed?

• As 18 miles with a direction of 18 degrees

• As 12 miles with a direction of 30 degrees

• As 10 miles west and 15 miles north

• As 20 miles with a direction of 25 degrees

What is the formula used to calculate the vector components?

• 8 times cosine of 30 degrees, 8 times sine of 30 degrees

• 15 times cosine of 25 degrees, 15 times sine of 25 degrees

• 12 times cosine of 18 degrees, 12 times sine of 18 degrees

• 10 times cosine of 20 degrees, 10 times sine of 20 degrees

What is the easiest way to write the magnitude in vector notation?

• Write it at the end of the vector

• Write it in the middle of the vector

• Write it as a separate component

• Write it at the front of the vector

To what should the result be rounded when calculating the vector components?

• Nearest tenth

• Nearest thousandth

• Nearest hundredth

• Nearest whole number