Understanding Vectors

What is the main difference between a vector and a scalar?

• Vectors are always positive, while scalars can be negative.

• Vectors are used to measure time, while scalars measure distance.

• Vectors have both magnitude and direction, while scalars have only magnitude.

• Vectors have only magnitude, while scalars have both magnitude and direction.

Which of the following is an example of a scalar quantity?

• Velocity

• Displacement

• Mass

• Acceleration

How is the direction of a vector represented when drawing it?

• By the length of the arrow

• By the angle of the arrowhead

• By the color of the arrow

• By the thickness of the arrow

What does the length of a vector's arrow represent?

• The direction of the vector

• The speed of the vector

• The type of vector

• The magnitude of the vector

How can you denote the magnitude of a vector 'a'?

• By underlining 'a'

• By writing 'a' with an arrow above it

• By writing 'a' in bold

• By using absolute value bars around 'a'

What are the components of a vector?

• The color and size of the vector

• The x and y coordinates of the vector

• The length and width of the vector

• The speed and direction of the vector

How can you express a vector using its components?

• By writing the vector as a quotient of its x and y components

• By writing the vector as a product of its x and y components

• By writing the vector as a sum of its x and y components

• By writing the vector as a difference of its x and y components

Which theorem is used to find the magnitude of a vector from its components?

• Sine rule

• Pythagorean theorem

• Triangle inequality

• Cosine rule

What is the formula to find the angle of a vector using its components?

• Sine inverse of y over x

• Cosine inverse of y over x

• Tangent inverse of y over x

• Secant inverse of y over x

If a vector has an x component of 3 and a y component of 3, what is its magnitude?

• 3

• 6

• 4.24

• 9