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` .

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.

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 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 .

Find the angle between the vectors " " oversetrarra=overset^^i+overset^^j-overset^^k " and "oversetrarrb=overset^^i-overset^^j+overset^^k

Find the area of a parallelogram whose adjacent sides are the vector 2i+j+k and i-j .

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

Are the vectors oversetrarra =2 overset^^i -overset^^j "and"oversetrarrb =overset^^i+2overset^^j equal?

Find aunit vector along the sum of the vectors oversetrarra = overset^^i-3overset^^k "and"oversetrarrb =2overset^^i+5overset^^j-3overset^^k?

Find |oversetrarraxxoversetrarrb|" if " oversetrarra=overset^^i-7overset^j+7overset^^k and oversetrarrb=3overset^^i-2overset^^j +2overset^^k.