Q. 8 A5.0( 1 Vote )

# Find the angle between the following pairs of line :and

We know that angle between two lines given with their vector equation is the angle between their parallel vectors always.

By using dot product to find the angle between the lines using their parallel vectors .

= (4) + λ(+2–2)

= (+2) – μ(2+4–4)

= 4 , = +2–2

= + 2, = 2 + 4 – 4

= = 3

= = 6

Let θ be the angle between given lines. So using dot product we can find the angle.

cos θ =

=

= = 1

cos θ = 1

θ = 0o

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Revision of straight lines important formulas in one shot59 mins
Concept Builder Questions of straight Lines (Quiz Session)55 mins
Magnetic field due to current carrying straight wire37 mins
Translation Process37 mins
Interactive Quiz on Bacterial Diseases29 mins
Interactive Quiz on Cancer36 mins
Immune System Disorders60 mins
Interactive Quiz on Connective & Epithelial Tissue45 mins
Rapid Quiz on Human health & disease65 mins
Revise Sexual reproduction in flowering plants with a quiz44 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses