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Show that the points A, B and C with pos...

Show that the points A, B and C with position vectors, `vec(a)=3hati-4hatj-4hatk,vec(b)=2hati-hatj+hatk` and `vec( c )=hati-3hatj-5hatk`, respectively form the vertices of a right angled triangle.

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Show that the points A,B and C with position vectors , veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatkandvecc=hati-3hatj=5hatk ,respectively form the vertices of a right angled triangle.

Show that the vectors, vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hatk and vec( c )=hati-3hatj+5hatk are coplanar.

Show that the vectors vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hatk and vec( c )=hati-hatj+5hatk are coplannar.

Find [vec(a)vec(b)vec( c )] if vec(a)=hati-2hatj+3hatk,vec(b)=2hati-3hatj+hatk and vec( c )=3hati+hatj-2hatk .

If the vectors vec(a)=hati+3hatj+hatk,vec(b)=2hati-hatj-hatk and vec( c )=lambda hati+7hatj+3hatk are coplannar then find lambda .

vec(a)=hati-2hatj+hatk,vec(b)=2hati+hatj+hatk , vec( c )=hati+2hatj-hatk then find that vec(a)xx(vec(b)xxvec( c )) .

Consider points A,B,C annd D with position vectors 7hati-4hatj+7hatk,hati-6hatj+10hatk,-1hati-3hatj+4hatk and 5hati-hatj+5hatk , respectively. Then, ABCD is

vec(a)=2hati-10hatj+2hatk,vec(b)=3hati+hatj+2hatk and vec( c )=2hati+hatj+3hatk then find vec(a)xx(vec(b)xxvec( c )) .

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is