How to find the component form of a vector given the magnitude and direction

The video tutorial covers three methods to write vectors: component form, linear combination, and using magnitude and angle. It explains the component form with initial and terminal points, the linear combination using unit vectors I and J, and the magnitude-angle form using cosine and sine functions. The tutorial also includes a practical example of calculating a vector's components using magnitude and angle, emphasizing the importance of simplifying answers and rounding appropriately.

What is the initial point of a vector in component form?

• (A,B)

• (V1,V2)

• (1,1)

• (0,0)

In the linear combination form, which unit vectors are used to express a vector?

• M and N

• X and Y

• A and B

• I and J

What is required to easily write a vector in linear combination form?

• Terminal point

• Magnitude

• Initial point

• Angle

Which trigonometric functions are used to represent a vector's direction?

• Tangent and Cotangent

• Sine and Cosine

• Secant and Cosecant

• Hyperbolic Sine and Cosine

If a vector has a magnitude of 18 and an angle of 25 degrees, what is the formula to find its components?

• 18 * tan(25 degrees), 18 * cot(25 degrees)

• 18 * sinh(25 degrees), 18 * cosh(25 degrees)

• 18 * cos(25 degrees), 18 * sin(25 degrees)

• 18 * sec(25 degrees), 18 * csc(25 degrees)