Explain the resolution of vectors in three dimensional co-ordinates .

1.	Explain the resolution of vectors in three dimensional co-ordinates .
Answer» <html><body><p></p>Solution :In the Cartesian coordinate system any vector `vec(A) `can be resolved into three components along x, y and <a href="https://interviewquestions.tuteehub.com/tag/z-750254" style="font-weight:bold;" target="_blank" title="Click to know more about Z">Z</a> direction. This is <a href="https://interviewquestions.tuteehub.com/tag/shown-1206565" style="font-weight:bold;" target="_blank" title="Click to know more about SHOWN">SHOWN</a> in the <a href="https://interviewquestions.tuteehub.com/tag/figure-987693" style="font-weight:bold;" target="_blank" title="Click to know more about FIGURE">FIGURE</a> (<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>) (Components of a vectorin two dimensions and three dimensions).<br/>Consider a 3-dimensional coordinate system. With respect to this a vector can be <a href="https://interviewquestions.tuteehub.com/tag/written-732709" style="font-weight:bold;" target="_blank" title="Click to know more about WRITTEN">WRITTEN</a> in component form as<br/>`vec(A) = A_(x)hat(i) +A_(y)hat(j) +A_(z) hat(k)`<br/>`A = sqrt(A_(x)^(2)+A_(y)^(2)+A_(z)^(2))`<br/><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PRE_GRG_PHY_XI_V02_C02_E02_196_S01.png" width="80%"/></body></html>

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