Vectors 8.3 Vector, Parametric and Symmetric equations of lines in R3

Extending our knowledge of lines in R2 to apply to lines in R3.
Direction cosines. Angles made by a vector in R3 to the x, y and z axis.

[hanifqureshi]

I wish that Ms. Havrot's work is taken by the school boards and made available to all grade 12 students. She explains the questions in such a manner that is so easy to understand for a student. Great work Ms. Havrot. We need teachers like you in society.

[iamtrevor]

Ms Havrot u r truly a lifesaver i can't tell how much iam thankfull to you
Im in class 11 and i don't understand why my teachers fail to make these topics sound like actually they make sense
I've started to watch your playlists. So it would be weird if i comment like this in every video
Thank u 3000 times
definitely i'll try to make my friends watch these
if u dont mine will u please suggest some channels like yours that teach physics
Thankyou soooo much

[amalibrahim]

Do you have material for IB academic math grade 11 and 12 ? and Data management grade 12?

[moski]

Hello Mrs.Havrot's, for the question at 3:04, is it still right if we solve t by subbing in the x y z values for each of the three equations individually? By doing 3 = 1 + t and then solve for t, 4 = 0 + 2t and then solve for t and then the same thing for z, and then compare all three of the t values if they are the same. Would that be right?

[internetweb]

if you want to find direction vectors, you subtract the x's and y's and z's, but what if there is something like (-4, 5, 6) and (0, 0, 0). Then isn't the direction vector just (-4, 5, 6)? But if you do (0-(-4), 0-5, 0-6) the signs change. So which one is the direction vector? Thanks

[amalibrahim]

Your Videos are amazing! I wonder if I can get a copy of your notes for grade 12 calculus whether free of for a fee.

[Destiny_]

hi
i am having a bit of a problem with these type of parametric related questions
2. Line L1: = y-4/2=x+1/-1=z+1/3 is perpendicular to line L2, which passes through A(1, 3, -2).
Determine the parametric equations of L2.




3. Determine the parametric equations for a line that is perpendicular to the yz-plane and passes through X(–2, 4, 3).

any guide or help would be appreciated :)

[internetweb]

question 5 c, on page 449, is the answer in the textbook wrong?