Share

## Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −8) and parallel t

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Question

### 15. SHORT ANSWER Define a variable and write an expression to represent the following phrase. seven years younger than Lis

### Is 10x + -42 +31x equivalent to -21x + -42

### If f(x) =x^2 -2x and g(x) = 6x+4 for which value of c does (f+g)(x)=0

### While her husband spent 2½ hours picking out new speakers, a statistician decided to determine whether the percent of men who enjoy shopping

### Which equation(s) have x = –3 as the solution? log3(2x + 15) = 2 log5(8x + 9) = 2 log4(–20x + 4) = 3 logx81 = 4

## Answers ( )

Answer:The vector equation of the line is and parametric equations for the line are , , .

Step-by-step explanation:It is given that the line passes through the point (0,11,-8) and parallel to the line

The parametric equation are defined as

Where, (x₁,y₁,z₁) is point from which line passes through and <a,b,c> is cosine of parallel vector.

From the given parametric equation it is clear that the line passes through the point (-1,6,3) and parallel vector is <4,-4,6>.

The required line is passes through the point (0,11,-8) and parallel vector is <4,-4,6>. So, the parametric equations for the line are

Vector equation of a line is

where, is a position vector and is cosine of parallel vector.

Therefore the vector equation of the line is and parametric equations for the line are , , .