A force [tex] \vec{F} [/tex] of magnitude 12 N has non - rectangular components [tex] \vec{P} [/tex] and [tex] \vec{Q} [/tex] . The sum of magnitude of [tex] \vec{P} [/tex] and [tex] \vec{Q} [/tex] is 18N. The direction of [tex] \vec{Q} [/tex] is at right angle to [tex] \vec{F} [/tex]. Find the magnitude of [tex] \vec{Q} [/tex].
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Explanation:
In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is described by a pair of coordinates (x, y). In a similar fashion, a vector
\[\overset{\to }{A}\]
in a plane is described by a pair of its vector coordinates. The x-coordinate of vector
\[\overset{\to }{A}\]
is called its x-component and the y-coordinate of vector
\[\overset{\to }{A}\]
is called its y-component. The vector x-component is a vector denoted by
refer in the attachment