How do you find the angle between two lines in three dimensional vector space given two points on line 1 and the vector equation of line 2

  1. Find the direction vector of line 1

  2. Find the scalar product of the direction vectors of lines 1 and 2

  3. Calculate the magnitude of both direction vectors

  4. Use (equation on whiteboard) to find the cosine of the angle

  5. Calculate the angle

MM
Answered by Mark M. Maths tutor

3681 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Write (3 + 2√5)/(7 + 3√5) in the form a + b√5


Find ∫(2x^5 -4x^-3 +5) dx


Find all values of x in the interval 0 ≤ x ≤ 2pi for 2sin(x)tan(x)=3


Find the x and y coordinates of the turning points of the curve 'y = x^3 - 3x^2 +4'. Identify each turning point as either a maximum or a minimum.


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:

© 2026 by IXL Learning