Mastering Vector Addition Through Component Analysis

The video tutorial by EZEngineering covers vector addition using the component method. It begins with an introduction to the method, followed by resolving vector components using trigonometry. The tutorial then demonstrates calculating the resultant vector from two vectors, using the Pythagorean theorem to find magnitude and direction. Finally, it outlines steps to solve for the resultant vector when given multiple vectors.

What is the primary method discussed for adding vectors in this tutorial?

• Graphical method

• Analytical method

• Component method

• Parallelogram method

Which trigonometric functions are used to resolve a vector into its components?

• Sine and tangent

• Cosine and tangent

• Sine and cosine

• Tangent and cotangent

What is the x-component of a 5 newton force applied at 30 degrees counterclockwise from the positive x-axis?

• 2.5 newton

• 5.0 newton

• 4.33 newton

• 3.0 newton

In the example with two vectors, what is the y-component of the 7 newton force applied at 60 degrees clockwise from the negative x-axis?

• 3.5 newton

• 5.0 newton

• 6.606 newton

• 7.0 newton

What is the resultant x-component when adding the two vectors in the example?

• 1.5 newton

• 2.0 newton

• 0.83 newton

• 3.0 newton

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

• Tangent rule

• Cosine rule

• Sine rule

• Pythagorean theorem

What is the magnitude of the resultant vector in the example?

• 10.0 newton

• 9.0 newton

• 8.60 newton

• 7.5 newton

What is the direction of the resultant vector in the example?

• 90 degrees clockwise from the positive x-axis

• 45 degrees counterclockwise from the positive x-axis

• 84.46 degrees counterclockwise from the positive x-axis

• 60 degrees clockwise from the positive x-axis

What is the first step in solving for the resultant vector given multiple vectors?

• Use the Pythagorean theorem

• Get the x and y components of each vector

• Use inverse tangent function

• Add the magnitudes of the vectors

What is the final step in determining the direction of the resultant vector?

• Use the tangent function

• Use the inverse tangent function

• Use the cosine function

• Use the sine function