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[" 87Tind the vector "1" magritude "9" w...

[" 87Tind the vector "1" magritude "9" which as equally inclinds "],[" to the coordinate enes."]

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Find the vector of magnitude 9 which is equally inclined to the coordinates axes.

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Show that the vector hat i+hat j+hat k is equally inclined with the coordinate axes.

Show that the vector hat i+ hat j+ hat k is equally inclined with the coordinate axes.

Show that the vector hati+hatj+hatk is equally inclined with the coordinate axes.

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Show that the normal vector to the plane 2x+2y+2z=3 is equally inclined with the coordinate axes.

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If vec n is a vector of magnitude sqrt(3) and is equally inclined with an acute angle with the coordinate axes. Find the vector and Cartesian forms of the equation of a plane which passes through (2, 1, -1) and is normal to vec n .