Question

Find a function Bold r (t )r(t) for the line passing through the points Upper P (0 comma 0 comma 0 )P(0,0,0) and Upper Q (1 comma 7 comma 6 )Q(1,7,6). Express your answer in terms of Bold ii​, Bold jj​, and Bold kk.

Answer 1

Answer:

$r(t)=-ti-7tj-6tk$

Step-by-step explanation:

Given the points P(0,0,0) and Q(1,7,6).

We are to determine a function r(t) for the line passing through P and Q.

To do this, we express it in the form:

$r(t)=r_0+tD, where:\\ r_0 is the starting point and D is the direction vector.$

$D=P-D= -=$

Therefore:

$r(t)=+t\\=\\ Therefore, the function for the line passing through P and Q is: \\r(t)=-ti-7tj-6tk$