Vector Basics

What is a vector?

• A vector is a type of musical instrument.

• A vector is a quantity that has both magnitude and direction.

• A vector is a type of fruit.

• A vector is a unit of measurement for time.

How is a vector represented?

• By a collection of musical notes

• By a series of emojis

• By an ordered list of numbers

• By a random assortment of letters

What is the difference between a scalar and a vector?

• A scalar is represented by a line segment, whereas a vector is represented by a point.

• The difference between a scalar and a vector is that a scalar has magnitude only, whereas a vector has both magnitude and direction.

• A scalar is a one-dimensional quantity, whereas a vector is a two-dimensional quantity.

• A scalar has direction only, whereas a vector has magnitude only.

Can vectors be added together?

• Yes

• No

• Sometimes

• Only on weekends

What is the result of adding two vectors?

• The result of adding two vectors is a negative vector

• The result of adding two vectors is a new vector with x-component as the sum of the x-components of the two vectors and y-component as the sum of the y-components of the two vectors.

• The result of adding two vectors is a matrix

• The result of adding two vectors is a scalar quantity

How is the magnitude of a vector calculated?

• Magnitude = sqrt(x^2 - y^2 + z^2)

• Magnitude = sqrt(x^2 + y^2 + z^2)

• Magnitude = x + y + z

• Magnitude = x^2 + y^2 + z^2

What is a unit vector?

• A unit vector is a vector with a magnitude of 1.

• A unit vector is a vector that points in the opposite direction of the original vector.

• A unit vector is a vector with a magnitude of 2.

• A unit vector is a vector with a magnitude of 0.

What is the dot product of two vectors?

• The dot product of two vectors is a vector.

• The dot product of two vectors is a scalar value.

• The dot product of two vectors is a matrix.

• The dot product of two vectors is a complex number.

How is the dot product calculated?

• Multiply the corresponding entries of the two vectors and then sum up the results.

• Add the corresponding entries of the two vectors and then multiply the results.

• Subtract the corresponding entries of the two vectors and then sum up the results.

• Divide the corresponding entries of the two vectors and then sum up the results.

What is the cross product of two vectors?

• The cross product of two vectors is always in the direction of the first vector.

• The cross product of two vectors is equal to the dot product of the vectors.

• The cross product of two vectors is a vector that is perpendicular to both of the original vectors.

• The cross product of two vectors is a scalar quantity.