Solution: Unit vectors and Magnitude Consider the following

Chapter 10, Problem 41E

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QUESTION:

Unit vectors and Magnitude Consider the following points P and Q.

a. Find \(\overrightarrow{P Q}\) and state your answer in two forms: \(\langle a, b, c\rangle\) and ai + bj + ck.

b. Find the magnitude of \(\overrightarrow{P Q}\).

c. Find two unit vectors parallel to \(\overrightarrow{P Q}\).

P(-3, 1, 0), Q(-3, -4, 1)

Questions & Answers

QUESTION:

Unit vectors and Magnitude Consider the following points P and Q.

a. Find \(\overrightarrow{P Q}\) and state your answer in two forms: \(\langle a, b, c\rangle\) and ai + bj + ck.

b. Find the magnitude of \(\overrightarrow{P Q}\).

c. Find two unit vectors parallel to \(\overrightarrow{P Q}\).

P(-3, 1, 0), Q(-3, -4, 1)

ANSWER:

Solution 41EStep 1 to Step 4:Step 1:The distance between two points P(, Q(is the modulus of the vector PQ. = - = - = Distance of (P,Q) is = || =

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