Q. 75.0( 1 Vote )

# Find the angles a

(i)

Let, r = î - j + k̂

The direction ratios of the vector r = 1, - 1, 1

And, |r | = √ ((1)2 + ( - 1)2 + (1)2)

= √3

The direction cosines of the vector r

So,

Thus, angles made by with the coordinate axes are given by

(ii)

Let, r = 0 î + j - k̂

The direction ratios of the vector r = 0, 1, - 1

And, |r | = √ ((0)2 + (1)2 + ( - 1)2)

= √2

The direction cosines of the vector r

So,

Thus, angles made by with the coordinate axes are given by

(iii)

Let, r = 4î + 8 j + k̂

The direction ratios of the vector r = 4, 8, 1

And, |r | = √ ((4)2 + (8)2 + (1)2)

= √81

= 9

The direction cosines of the vector r

So,

Thus, angles made by with the coordinate axes are given by

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
RELATED QUESTIONS :

The position vectMathematics - Exemplar

The vector havingMathematics - Exemplar

True and False<brMathematics - Exemplar

If <img widMathematics - Board Papers

True and False<brMathematics - Exemplar

If <span lang="ENMathematics - Board Papers