Calculus III: Two Dimensional Vectors (Level 6 of 13)

What happens to the components of a vector when it is multiplied by a scalar?

• They are divided by the scalar.

• They are added to the scalar.

• They remain unchanged.

• They are multiplied by the scalar.

If a vector is multiplied by a negative scalar, what happens to its direction?

• It becomes perpendicular.

• It becomes zero.

• It remains the same.

• It reverses direction.

How can you determine if two vectors are parallel?

• By checking if they have the same magnitude.

• By checking if they are perpendicular.

• By checking if one is a scalar multiple of the other.

• By checking if they have the same initial point.

Which of the following vectors is parallel to vector v if vector v = (3, 4)?

• (6, 8)

• (3, -4)

• (4, 3)

• (0, 0)

What is the result of multiplying vector v = (3, 4) by 0?

• (6, 8)

• (-3, -4)

• (3, 4)

• (0, 0)

If vector z = (3, 2), which vector is not parallel to z?

• (6, 4)

• (9, 6)

• (1.5, 1)

• (1, 2)

What is the x-component of the resultant vector when vector v = (1, 2) is added to vector u = (2, 3)?

• 4

• 3

• 2

• 1

How do you find the y-component of the resultant vector when subtracting vector u = (2, 3) from vector v = (1, 2)?

• Divide the y-component of v by u.

• Multiply the y-components of both vectors.

• Subtract the y-component of u from v.

• Add the y-components of both vectors.

Which law can be used to geometrically find the sum of two vectors?

• Triangle Law

• Law of Sines

• Pythagorean Theorem

• Law of Cosines

What is the y-component of the resultant vector when vector v = (1, 2) is added to vector u = (2, 3)?

• 2

• 3

• 5

• 4