Write down the vector equation of the line l through the point (1,-1,2) and parallel to the vector 2i + 4k

Firstly, you need to see what is being asked to do. You need to find a vector equation of a line.Remember that the vector equation of a line is represented as r = a + λb.r is any point on the line, a is a specific point on the line and b is the direction vector of the line.Next, you need to look at the information provided in the question. You have been told that the line 'l' passes through a specific point (1,-1,2). This will be a.You have also been told that the line 'l' will be 'parallel' to the vector (2i + 4k). Therefore, the direction vector of the line 'l' will also be 2i + 4k. Now you have all your information, it can be filled into the equation. l: r = (i -j + 2k) + λ(2i + 4k)You have now finished the question.

CM
Answered by Clare M. Maths tutor

4014 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Why is the derivative of inverse tan(x) 1/(1+x^2)?


y = 2ln(2x + 5) – 3x/2 , x > –2.5 find an equation to the normal of the curve when x = -2


Solve for 0 =< x =< 360 16/(cos(x+25)+1) = 10, give answers to 2 d.p.


There are two lines in the x-y plane. The points A(-2,5) and B(3,2) lie on line one (L1), C(-1,-2) and D(4,1) lie on line two (L2). Find whether the two lines intersect and the coordinates of the intersection if they do.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning