Write the vector in component form and then determine the magnitude

The video tutorial explains how to write vectors in component form, calculate vectors QR and PS, combine them, and find the magnitude of the resulting vector. The instructor provides step-by-step guidance, including calculations and simplifications, and concludes with a Q&A session addressing student queries.

What is the component form of a vector given points Q(3, 4) and R(-2, 5)?

• (-5, 1)

• (5, -1)

• (1, -5)

• (-1, 5)

How do you calculate the vector PS if P is (-2, 2) and S is (2, -8)?

• (4, -10)

• (-4, 10)

• (4, 10)

• (-4, -10)

What is the result of adding the vectors 3QR and PS if QR is (-5, 1) and PS is (4, -10)?

• (-1, -9)

• (1, 9)

• (11, 7)

• (-11, -7)

Which formula is used to calculate the magnitude of a vector with components V1 and V2?

• V1 + V2

• V1^2 + V2^2

• V1^2 - V2^2

• sqrt(V1^2 + V2^2)

What is the approximate magnitude of a vector with components (-11, -7)?

• 11.03

• 13.03

• 17.03

• 15.03