Given the line (x+2)/2=(y-7)/3 = (z+8)/-3, and the plane 2x+3y-4z-7=0
Determine the point of intersection, and the angle of intersection, if they exist
3 answers
These multiple posts of similar topics are starting to look like a homework dump. Reiny has helped quite a few times; have you no ideas of your own to show?
You MUST know how to change the given line equation into its
parametric form.
Once you have done that, sub in the x, y, and z values into the plane equation.
You will have an equation in terms of the parameter, which lets you find the x, y, and z
of the intersection point.
let me know what you get
hint for the angle:
dot product of the normal and the direction vector of the line will give you what angle?
Make a sketch
parametric form.
Once you have done that, sub in the x, y, and z values into the plane equation.
You will have an equation in terms of the parameter, which lets you find the x, y, and z
of the intersection point.
let me know what you get
hint for the angle:
dot product of the normal and the direction vector of the line will give you what angle?
Make a sketch
When someone is in an advanced math class, but then says s/he doesn't know some pretty basic things, my first thought is that the person probably had trouble with the class before that, too.
My best suggestion is that you go to https://www.khanacademy.org/ and click on Courses at the top left. Choose from among the Get ready for courses and complete them before dealing with calculus. I think* you should start with Get ready for Algebra 1, then … Algebra 2, then … precalculus. Math is like climbing a ladder. If you miss steps, you'll fall.
*A math tutor may have different ideas for you.
My best suggestion is that you go to https://www.khanacademy.org/ and click on Courses at the top left. Choose from among the Get ready for courses and complete them before dealing with calculus. I think* you should start with Get ready for Algebra 1, then … Algebra 2, then … precalculus. Math is like climbing a ladder. If you miss steps, you'll fall.
*A math tutor may have different ideas for you.