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Chapter 3: Q3P (page 112)

In Problems 1 to 5, all lines are in the (x,y) plane.

3. Write, in parametric form [as in Problem 1], the equation of the straight line that joins (1,-2)and (3,0).

Short Answer

Expert verified

The parametric equation of line is (3i)+(i+j)t.

Step by step solution

01

Concept of the straight line in slope form.

Write the expression of slope.

y-yox-xo=m 鈥︹�︹�︹�� (1)

Here,m is the slope andx0 andy0are the coordinates.

02

Substitute the values in slop equation 1 and 2

First point is(1,-2) and the second point is(3,0).

Substitute -2 for y0,1 for x0,0 for y12 and 3 for x1, in equation (1).

0-(-2)3-1=mm=1

Substitute 0 for yo, 3 for xo, and 1 for m in equation (1).

y-0x-3=1y1=x-31

Thus, a=1 and b=1 in parametric form.

03

Substitute the values in parametric form

The parametric form is,x=3+t.

And,y=t.

Thus, the parametric equation can be written as follows:

r=(3,0)+(1,1)t

Therefore, the parametric equation of the line is (3i)+(i+j)t.

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Most popular questions from this chapter

Verify formula (6.13). Hint: Consider the product of the matrices MCT. Use Problem 3.8.

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