ONE MORE STEP TOWARD BETTER TOMMOROW
Saturday, 9 August 2014
CHAPTER 4-Worked Out Examples 2
have direction cosines
respectively. Find the angle at which
are inclined to each other respectively.
The unit vectors
respectively can be written as
) is given by
We can dedude the following conditions on the direction cosines of
What will be the corresponding conditions had a set of direction ratios been specified instead of the direction cosines?
For the lines
of the previous example, find the direction cosines of the line
perpendicular to both
Let the unit vector along
is a unit vector itself, the direction cosines of
Find the angle between the lines whose direction cosines are given by the equations
Using the value of
from the first equation in the second, we have
. A set of direction ratios of one line is therefore
A set of direction ratios of the other line is therefore
Using the result of example
(the one that you were asked to prove at the end of the question), the angle between the two lines can now be evaluated to be
August 09, 2014
Share to Twitter
Share to Facebook
Share to Pinterest
Post a Comment
Post Comments (Atom)
CBSE NCERT CLASS 12 MATHS SOLUTIONS
Dear students here i offers Free Online NCERT Solutions of class 12 math text book Chapters. i tried to solved maths problem step wise in...
CBSE NCERT CLASS 11 MATHS SOLUTIONS
dear students i am very happy to announce that on demands of many students from various parts of country therefore after solutions of...
Product and Sum Formulas
From the Addition Formulas, we derive the following trigonometric formulas (or identities) Remark. It is clear that the third formula...