Vector Components and Trigonometric Functions

The video tutorial by Mrs. Ofon covers standard unit vectors I and J, explaining their roles and how they are used in vector notation. It demonstrates converting between component and standard unit vector forms, calculating direction angles, and applying trigonometry to find vector components. The tutorial includes example problems to illustrate these concepts.

What is the standard unit vector that represents horizontal movement along the positive x-axis?

• J

• I

• K

• L

Which standard unit vector represents vertical movement along the positive y-axis?

• J

• I

• K

• L

How can the vector (3, 4) be expressed using standard unit vectors?

• 3J + 4I

• 4J + 3I

• 3I + 4J

• 4I + 3J

What is the component form of the vector 8I + 3J?

• (0, 3)

• (3, 8)

• (8, 3)

• (8, 0)

If a vector is expressed as 12I, what is its component form?

• (12, 12)

• (0, 12)

• (12, 0)

• (0, 0)

How is the vector -3I - 7J represented in component form?

• (-3, -7)

• (3, 7)

• (-7, -3)

• (7, 3)

What is the standard unit vector form of the vector (12, 4)?

• 12J + 4I

• 12I + 4J

• 4I + 12J

• 4J + 12I

Which trigonometric function is used to find the horizontal component of a vector?

• Cosecant

• Sine

• Tangent

• Cosine

What is the formula to find the vertical component of a vector using its magnitude and angle?

• Magnitude / Cosine(theta)

• Magnitude * Sine(theta)

• Magnitude * Cosine(theta)

• Magnitude / Sine(theta)

In which quadrant is a vector located if it moves three units to the right and seven units down?

• First

• Second

• Third

• Fourth