Exploring the Dot Product in PreCalculus

How do you perform the addition of two vectors?

• Add corresponding components

• Divide corresponding components

• Multiply corresponding components

• Subtract corresponding components

What operation is performed to subtract two vectors?

• Subtract their corresponding components

• Divide their corresponding components

• Multiply their corresponding components

• Add their corresponding components

Which of the following is true about vector addition?

• It cannot be done in 3D space

• It is performed component-wise

• It involves multiplying components

• It results in a scalar

What is the result of multiplying a vector by a scalar?

• None of the above

• A scalar quantity

• A new vector in the opposite direction

• A new vector in the same direction

What happens when you multiply a vector by 3?

• Add 3 to each component

• Divide each component by 3

• None of the above

• Triple each component of the vector

What does the dot product of two vectors produce?

• A tensor

• A matrix

• A vector

• A scalar

How do you find the magnitude of a vector using the dot product?

• Vector dot itself

• Vector dot zero

• Vector dot unit vector

• Vector dot its inverse

What is the result of the dot product of a vector with itself?

• The magnitude squared of the vector

• Zero

• A new vector

• The inverse of the vector

What formula is used to find the angle between two vectors?

• None of the above

• Dot product divided by the product of their magnitudes

• Sum of their magnitudes

• Product of their magnitudes

What is necessary to calculate the angle between two vectors?

• Their cross product

• Their dot product and magnitudes

• Their differences

• Their sums