Introduction to Vectors Quiz

What is the horizontal component of a vector with magnitude U and direction angle θ?

• U / cos(θ)

• U * sin(θ)

• U * cos(θ)

• U / sin(θ)

If a vector U has a magnitude of 5 and a direction angle of 60 degrees, what is its vertical component?

• 5 * sin(60°)

• 5 / cos(60°)

• 5 * cos(60°)

• 5 / sin(60°)

How do you find the resultant vector when adding vectors U = (a, b) and V = (c, d)?

• (a + c, b - d)

• (a - c, b + d)

• (a - c, b - d)

• (a + c, b + d)

What is the result of scalar multiplication of a vector U = (a, b) by a scalar k?

• (a/k, b/k)

• (ka, kb)

• (a, kb)

• (ka, b)

If U = (-1, 3) and V = (5, -9), what is U + V?

• (6, -12)

• (-6, 12)

• (-4, 6)

• (4, -6)

What is a unit vector?

• A vector with a magnitude of 1

• A vector with a magnitude less than 1

• A vector with a magnitude of 0

• A vector with a magnitude greater than 1

What are the standard unit vectors?

• i = (1, 1) and j = (0, 0)

• i = (0, 0) and j = (1, 1)

• i = (1, 0) and j = (0, 1)

• i = (0, 1) and j = (1, 0)

How can the vector U = (3, 5) be expressed using unit vectors i and j?

• 5j + 3i

• 3i + 5j

• 5i + 3j

• 3j + 5i

What is the magnitude of the unit vector i?

• 0

• 1

• 2

• √2

Which of the following is true about the vector notation AI + BJ?

• It represents a vector in terms of its angle only.

• It represents a vector in terms of its direction only.

• It represents a vector in terms of its magnitude only.

• It represents a vector in terms of standard unit vectors.