+91-87964 74404
FlagBACK
Question icon
Grade 12Algebra

The projections of a line segment PQ on the x, y and z axes are 12,4,3 , respectively. Find | PQ| and the direction cosines of the line PQ

Profile image of Arvind
8 Years agoGrade 12
Answers icon

1 Answer

Profile image of Ritesh Khatri
8 Years ago
Formula for length of a segment is
|PQ| = \sqrt{x^{2}+y^{2}+z^{2}}
=\sqrt{12^{2}+4^{2}+3^{2}}
=13
Direction cosines,
 
Below are formula for direction cosines
 l = \frac{x}{\sqrt{x^{2}+y^{2}+z^{2}}}
=12/13
m = \frac{y}{\sqrt{x^{2}+y^{2}+z^{2}}}
=4/13
n = \frac{z}{\sqrt{x^{2}+y^{2}+z^{2}}}
=3/13

Other Related Questions on algebra

question mark
What is a binomial expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
1 Answer Available

Last Activity: 3 Years ago

question mark
Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?
algebra
1 Answer Available

Last Activity: 3 Years ago