Show that the points A(1,-2,-8), B(5,0,-...

Show that the points `A(1,-2,-8), B(5,0,-2)` and `C(11,3,7)` are collinear.

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MODERN PUBLICATION-VECTORS-Exercise

Find a vector of magnitude 5 units, and parallel to the resultant of t...
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If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...
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Show that the points A(1,-2,-8), B(5,0,-2) and C(11,3,7) are collinear...
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Find the position vector of a point R which divides the line joining t...
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The two adjacent sides of a parallelogram are given by the vectors 2ha...
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Show that the direction cosines of a vector equally inclined to the ax...
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Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...
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The scalar product of the vector hati+hatj+hatk with a unit vector alo...
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If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...
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Prove that (veca+vecb) cdot (veca+vecb) = |veca|^2 + |vecb|^2, if and ...
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If theta is the angle between two vectors veca and vecb, then veca c...
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Let veca and vecb be two unit vectors and theta is the angle between t...
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The value of : hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) i...
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If theta is the angle between two vectors veca and vecb, then |veca*ve...
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Using vectors, find the value of 'k' such that the points (k,-10,3),(1...
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If A,B,C,D are the points with position vectors : hati+hatj-hatk,2hati...
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Parallelogram on equal bases and between the same parallels are equal ...
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Write all the unit vectors in XY-plane.
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Write down a unit vector in XY-plane, making an angle of 30^o with the...
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Find a vector of magnitude 5 units, and parallel to the resultant of t...
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