Vector Addition and Components

The video tutorial explains how to find the magnitude and direction of the sum of two vectors, A and B, given their magnitudes and directions. It covers converting vectors into component form, adding these components, and using trigonometry to determine the magnitude and direction of the resulting vector. The tutorial also addresses adjusting the angle to account for the correct quadrant placement.

What is the magnitude of Vector A?

• 5

• 4

• 6

• 3

In which direction is Vector B oriented from the positive x-axis?

• 90 degrees

• 360 degrees

• 170 degrees

• 240 degrees

How do you calculate the x-component of a vector?

• Multiply the magnitude by the sine of the 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

What is the y-component of Vector A if its magnitude is 4 and direction is 170 degrees?

• 3 * sin(170 degrees)

• 3 * cos(170 degrees)

• 4 * sin(170 degrees)

• 4 * cos(170 degrees)

What is the x-component of the resultant vector A + B?

• 4 * cos(170 degrees) - 3 * cos(240 degrees)

• 4 * cos(170 degrees) + 3 * cos(240 degrees)

• 4 * sin(170 degrees) - 3 * sin(240 degrees)

• 4 * sin(170 degrees) + 3 * sin(240 degrees)

Which theorem is used to find the magnitude of the resultant vector?

• Pythagorean theorem

• Sine rule

• Cosine rule

• Tangent rule

What is the approximate magnitude of the resultant vector A + B?

• 5.44

• 5.76

• 6.00

• 6.44

How do you calculate the direction of the resultant vector?

• Using the cotangent of the angle

• Using the cosine of the angle

• Using the sine of the angle

• Using the tangent of the angle

What adjustment is needed when the calculated angle is in the wrong quadrant?

• Add 180 degrees

• Add 90 degrees

• Subtract 180 degrees

• Subtract 90 degrees

What is the final direction of the resultant vector A + B?

• 99.25 degrees

• 299.25 degrees

• 19.25 degrees

• 199.25 degrees