Vector Transformation Skills

What is the notation used to represent a vector?

• Bold lowercase letter with an arrow on top

• Bold uppercase letter with a cross through it

• Italic uppercase letter with a line underneath

• Regular lowercase letter with a circle on top

Perform vector addition: A = (3, -2) and B = (-1, 4)

• (2, 2)

• (4, -6)

• (0, 2)

• (5, 1)

Calculate 3 * (2, -5)

• (5, -10)

• (6, -15)

• (9, -20)

• (1, -3)

What geometric transformation occurs when a vector is multiplied by -1?

• Reflection or 180-degree rotation

• Shear

• Dilation

• Translation

Solve the vector equation: 2A + B = (5, 3)

• A = (3, 0), B = (2, 3)

• A = (2, 0), B = (3, 3)

• A = (5, 0), B = (0, 3)

• A = (5/2, 0), B = (0, 3)

If vector A = (4, -1), find -2A

• (8, -2)

• (-8, 2)

• (-4, 1)

• (2, -8)

What does it mean when two vectors are parallel?

• Same direction or opposite directions

• Equal magnitude

• Perpendicular

• Not in the same plane

Perform vector addition: C = (1, 0) and D = (0, -3)

• (2, -3)

• (0, -1)

• (1, 3)

• (1, -3)

Calculate -4 * (3, 7)

• (12, -28)

• (0, -28)

• (-4, 21)

• (-12, -28)

Explain the concept of scalar multiplication of vectors

• Scalar multiplication involves dividing each component of a vector by a scalar value.

• Scalar multiplication of vectors results in adding the scalar value to each component of the vector.

• Scalar multiplication of vectors is the process of multiplying the magnitudes of two vectors.

• Scalar multiplication of vectors is the process of multiplying each component of a vector by a scalar value.