Resolving Vectors Into Components Using Trigonometry

The video tutorial explains the resolution of a vector into its components. It begins with an introduction to the concept and its objectives. The tutorial then describes how a single vector, represented as 'r', can be resolved into two components along the x-axis and y-axis. The mathematical process involves using trigonometric functions, cosine and sine, to determine the x and y components of the vector. The tutorial provides a step-by-step guide to understanding and applying these concepts.

What is the primary purpose of resolving a vector into components?

• To determine the direction of the vector

• To break it into perpendicular components for easier analysis

• To simplify vector addition

• To find the magnitude of the vector

When resolving a vector, what do the two components typically align with?

• The horizontal and vertical planes

• The north and south directions

• The x-axis and the y-axis

• The z-axis and the w-axis

In the context of vector resolution, what does the line AD represent?

• The angle of the vector

• The y-component of the vector

• The x-component of the vector

• The resultant vector

How is the x-component of a vector calculated using trigonometry?

• By multiplying the vector's magnitude by sine of the angle

• By adding the vector's magnitude to cosine of the angle

• By dividing the vector's magnitude by cosine of the angle

• By multiplying the vector's magnitude by cosine of the angle

What trigonometric function is used to find the y-component of a vector?

• Cosine

• Tangent

• Sine

• Cotangent