Q .9. - Calculus

Question

Find an equation of the line containing the point $(-1, 3, 7)$with direction vector $(2,-4,9)$. 

(a) Use a different direction vector to find another equation for the same line. (b) Find an equation for the same line with the form 

$x=at+5,y=bt+y_0,z=ct+z_0.$

Step-by-Step Solution

Answer

Part a)

Part b)

Step 1:Given information

.

Step 2: Write the equation in standard form

Rearrange and simplify the equation.

Step 3: Apply the solution method

Use factoring, quadratic formula, substitution, or other methods.

Step 4: Verify the solution(s)

Check solutions in the original equation.

Step 5: State the final answer

List all valid solutions.