Show that the vectors 2overset^^i-3overs...

Show that the vectors `2overset^^i-3overset^^j+4overset^^k"and " -4overset^^i+6overset^^j-8overset^^k` are collinear.

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THREE DIMENSTIONAL GEOMETRY
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Find a vector of magnitude 9 which is perpendicular to both the vectors 4overset^^i-overset^^j+3overset^^k " and " -2overset^^i+overset^^j-2overset^^k

Show that the vectors 2overset^^i-overset^^j+overset^^k, overset^^i-3overset^^j-5overset^^k and 3overset^^i-4overset^^j-4overset^^k form the vertices of a right angled trainagle.

Show that the vectors veca=overset^^i-2overset^^j+3overset^^k,vecb=-2overset^^i+3overset^^j-4overset^^k and vecc=overset^i-3overset^j+5overset^^k are coplanar.

Find the angle between the vectors overset^^i-2overset^^j+3overset^^k"and"3overset^^i-2overset^^j+overset^^k.

Find a vector of magnitude 5 units and parallel to the resultant of the vectors veca=2overset^^i+3overset^^j-overset^^k "and "vecb=overset^^i-2overset^^j+overset^^k .

Find the area of the parallelogram whose adjacent are determined by the vectors veca=overset^^i-overset^^j+3overset^^k "and"vecb=2overset^^i-7overset^^j+overset^^k .

The scalar product of the vector overset^^i+overset^^j+overset^^k with a unit vector along the sum of the vectors 2overset^^i+4overset^^j-5overset^^k"and" lambdaoverset^^i+2overset^^j+3overset^^k is equal to I.Find the value of lambda .

Find lambda if the vectors overset^^i-overset^^j+overset^^k,3overset^^i+overset^^j+2overset^^k " and " overset^^i+lambdaoverset^^j-3overset^^k are coplanar.

Show that the four points with position vectors 4overset^^i+8overset^^j+12overset^^k,2overset^^i+4overset^^j+6overset^^k,3overset^^i+5overset^^j+4overset^^k and 5overset^^i+8overset^^j+5overset^^k are coplanar.

Show that the points A(-2overset^^i+3overset^^j +5overset^^k),B(overset^^i+2overset^^j+3overset^^k)"and"C(7overset^^i- overset^^k) are collinear.

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For given vectors" " oversetrarra=2overset^^i-overset^^j+2overset^^k...
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Find a vector in the direction of vector '5 hati-hatj+2 hatk' which ha...
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Show that the vectors 2overset^^i-3overset^^j+4overset^^k"and " -4over...
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Find the direction cosines of the vector 'hati+2 hatj+3 hatk'
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Find the scalar and vector components of the vector with initial point...
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Find the unit vector in the direction of oversetrarr(PQ), where P and ...
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Find the, direction cosines of the vector joining 'A(1,2,-3)' and 'B(-...
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Show that the vector overset^^i+overset^^j+overset^^k is equally incli...
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Find the position vector of a point R which divides the line joining t...
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Find the position vector of a point R which divides the line joining t...
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Find the position vector of the mid point of the vector joining the po...
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Show that the points A,B and C with position vectorsoversetrarra =3ove...
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In triangle ABC, which of the following is not true. a)oversetrarr(...
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If oversetrarra"and"oversetrarrbare two collinear vectors, then which ...
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Show that the points A(-2overset^^i+3overset^^j +5overset^^k),B(over...
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Find the projection of the vector oversetrarra =2overset^^i+overset^^j...
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Find the angle between the vectors" " oversetrarra=overset^^i+over...
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Find |oversetrarra-oversetrarrb| if two vectors" " oversetrarra" an...
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If oversetrarra is a unit vector and (oversetrarrx-oversetrarra) .(ove...
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Express 2overset^^i-overset^^j+3overset^^k as the sum of a vector para...
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