Given that P = (-5, 11) and Q = (-6, 4), find the component form and magnitude of QP?

Solution:

P = (-5, 11) = -5i + 11j

Q = (-6, 4) = -6i + 4j

We know about the vector quantities P and Q that

Component of QP = Position of P - Position of Q

Substituting the values

= - 5i + 11j - (-6i + 4j)

= - 5i + 11j + 6i - 4j

= i + 7j …. By adding the like real terms and the like imaginary terms.

Here

Magnitude of QP = √[1² + 7²]

= √50

Therefore, the component form and magnitude of QP are <1, 7> and √50.

Given that P = (-5, 11) and Q = (-6, 4), find the component form and magnitude of QP?

Summary:

Given that P = (-5, 11) and Q = (-6, 4), the component form and magnitude of QP are <1, 7> and √50.