मराठी

What Are the Direction Cosines of Z-axis?

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प्रश्न

What are the direction cosines of Z-axis?

बेरीज
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उत्तर

The z−axis makes angles 90°, 90° and 0° with x, y and z axes, respectively. Therefore, the direction cosines of z−axis are cos 90°, cos 90°, cos 0°, i.e. 0, 0, 1.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 26: Direction Cosines and Direction Ratios - Very Short Answers [पृष्ठ २४]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 26 Direction Cosines and Direction Ratios
Very Short Answers | Q 4 | पृष्ठ २४

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संबंधित प्रश्‍न

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(A) `0,1/sqrt2,-1/sqrt2`

(B) `0,-1/sqrt2,-1/sqrt2`

(C) `1,1/sqrt2,1/sqrt2`

(D) `0,-1/sqrt2,1/sqrt2`


Find the angle between the lines whose direction ratios are 4, –3, 5 and 3, 4, 5.


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Find the angle between the vectors whose direction cosines are proportional to 2, 3, −6 and 3, −4, 5.


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Find the angle between the lines whose direction cosines are given by the equations
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Find the angle between the lines whose direction cosines are given by the equations

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Write the distances of the point (7, −2, 3) from XY, YZ and XZ-planes.


Write the distance of the point (3, −5, 12) from X-axis?


Write the ratio in which YZ-plane divides the segment joining P (−2, 5, 9) and Q (3, −2, 4).


A line makes an angle of 60° with each of X-axis and Y-axis. Find the acute angle made by the line with Z-axis.


If a line makes angles α, β and γ with the coordinate axes, find the value of cos2α + cos2β + cos2γ.


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Find the distance of the point (2, 3, 4) from the x-axis.


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In the relation between direction ratios and direction cosines, what does the sign \[\pm\] in \[l=\pm\frac{a}{\sqrt{a^2+b^2+c^2}}\] depend on?


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