Find lambda if the vectors overset^^i-ov...

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.

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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 volume of a parallelepiped with coterminal edges represented by vectors veca=2overset^^i+3overset^^j+4overset^^k, vecb=3overset^^i-overset^^j+2overset^^k "and" vecc=overset^^i+2overset^^j-overset^^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.

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

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

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.

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 four points A,B,C and D with position cectors 4overset^^i+5overset^^j+overset^^k,-overset^^j-k,3overset^^i+9overset^^j+4overset^^k"and"4(-overset^^i+overset^^j+overset^^k) , respectively are coplanar.

The position vectors of the points A,B,C are given to be 2overset^^i+overset^^j-overset^^k,overset^^3i-overset^^2j+overset^^k"and" 1overset^^i+4overset^^j-3overset^^k respectively.Prove that A,B,C are collinear

Find the volume of the following parallelo-piped whose the coterminal edges are: veca=overset^^i-2overset^^j+3overset^^k,vecb=2overset^^i+overset^^j+overset^^k"and" vecc=2overset^^i+overset^^j-overset^^k

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Find [veca" " vecb" " vecc] "if "veca=overset^^i-2overset^^j+overset^^...
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Show that the vectors veca=overset^^i-2overset^^j+3overset^^k,vecb=-2...
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Find lambda if the vectors overset^^i-overset^^j+overset^^k,3overset^^...
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Letveca=overset^^i+overset^^j+overset^^k,vecb=overset^^i "and " vecc=c...
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Letveca=overset^^i+overset^^j+overset^^k,vecb=overset^^i "and " vecc=c...
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Show that the four points with position vectors4overset^^i+8overset^^j...
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Find x such that the four points A(3,2,1)B(4,x,5),C(4,2,-2)and D(6,5-1...
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If veca,vecb,veccare coplanar,prove that veca+vecb,vecb+vecc,vecc+veca...
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Find the volume of the following parallelo-piped whose the coterminal ...
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Find the volume of the following parallelo-piped whose the coterminous...
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Find the value of lambdaif the points. A(-1,4,-3),B(3, lamda,-5),C(-3,...
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Write down a unit vector in XY plane making an angle of 30^@ with the...
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Find the scalar components and magnitude of the vector joining the poi...
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A girl walks 4km towards west, then she walks 3 km in a direction 30^@...
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If veca=vecb+vecc,then is it true that |veca|=|vecb|+|vecc|? Justify y...
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Find the value of x for which x(overset^^i+overset^^j+overset^^k) is a...
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Find a vector of magnitude 5 units and parallel to the resultant of th...
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Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7)are collinear and...
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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 2overset^^i-4overset^^j+...
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