Vector Operations Quiz

What is the definition of a vector?

• A fixed length line

• A scalar quantity

• A directed line segment

• A point in space

What is the null vector?

• A vector with zero length

• A vector with unit length

• A vector with infinite length

• A vector with negative length

What is the sum of two vectors?

• The average of the two vectors

• A scalar quantity

• A vector from the tail of the first to the head of the second

• The difference of the vectors

What is the formula to calculate the length of a vector v(v1; v2)?

• |v| = v1 + v2

• |v| = v1 * v2

• |v| = v1 - v2

• |v| = √(v1^2 + v2^2)

What does it mean for two vectors to be parallel?

• They have the same length

• They intersect at a right angle

• They have the same direction

• One is a scalar multiple of the other

How do you find the coordinates of a midpoint between two points A(x1, y1) and B(x2, y2)?

• ((x1 - x2)/2, (y1 - y2)/2)

• (x1 + x2, y1 + y2)

• ((x1 + x2)/2, (y1 + y2)/2)

• (x1 - x2, y1 - y2)

What is the result of rotating a vector (v1, v2) by +90 degrees?

• (v2, -v1)

• (-v2, v1)

• (-v1, -v2)

• (v1, v2)

What is the unit vector in the direction of a vector v(v1, v2)?

• (v1/|v|, v2/|v|)

• (v1^2, v2^2)

• (v1 + v2, v1 - v2)

• (|v1|, |v2|)

What is the formula for the difference of two vectors a and b?

• a + b

• a * b

• a - b

• a + (-b)

What is the condition for two vectors to be perpendicular?

• They are parallel

• They have the same length

• Their dot product is zero

• Their angles are equal