Vector - Lesson

What two properties define a vector?

• Length and angle

• Magnitude and direction

• Size and position

• Speed and velocity

What characterizes equivalent vectors?

• They connect the same two points.

• They have the same starting point.

• They have the same magnitude and direction.

• They represent different types of motion.

When adding two vectors using the head-to-tail method, what does the vector sum represent?

• The average of their magnitudes.

• A vector from the start of the first to the end of the second.

• The diagonal of a parallelogram formed by the vectors.

• A vector that is perpendicular to both original vectors.

What happens to a vector when it is multiplied by a negative scalar?

• Its magnitude decreases, and its direction remains the same.

• Its magnitude increases, and its direction remains the same.

• Its magnitude increases, and its direction flips 180 degrees.

• Its magnitude decreases, and its direction flips 90 degrees.

How is the magnitude of a vector calculated?

• By finding the sum of its components.

• By finding the square root of the sum of the squares of its components.

• By finding the product of its components.

• By finding the square of the sum of its components.

Which of the following properties apply to vector addition?

• Commutative and Distributive

• Associative and Identity

• Commutative and Associative

• Distributive and Inverse

Given vector a = 2i - j + 4k and vector b = i + 6j - 2k, what is 2a + 3b?

• 7i + 16j + 2k

• 4i - 2j + 8k

• 3i + 18j - 6k

• 5i + 5j + 2k