Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

Suppose that the line ℓ is represented by r(t)=⟨18+4t,13+4t,10+2t⟩ and the plane P is represented by 3x−2y+6z=32. ------------------------------------------ 1. Find the intersection of the line ℓ and the plane P. Write your answer as a point (a,b,c) where a , b , and c are numbers. 2. Find the cosine of the angle θ between the line ℓ and the normal vector of the plane P .

I got my questions answered at in under 10 minutes. Go to now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Join Brainly to access

this expert answer


To see the expert answer you'll need to create a free account at Brainly

solve 3(18+4t) -2(13+4t) +6(10+3t) =32 for t
for 2, the normal to the plane is <+3 i -2 J +6k> and the vector along the line is <+4 i +4 j +2 k> use the definition of the dot product of two vectors to find the angle between them...
A dot B = |A||B| cos (theta)

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

for 2, it worked but for 1 you are suppose to find a point.... how do i find a point with just one value (t)?
plug t into the parametric representation of the line

Not the answer you are looking for?

Search for more explanations.

Ask your own question