Show that the points A, B and C with position vectors, ` -> a=3 hat i-4 hat j-4 hat k` , ` -> b=2 hat i- hat j+ hat k` and ` -> c= hat i-3 hat j-5 hat k` respectively form the vertices of a right angled triangle.

Show that the point A , B and C with position vectors vec a =3 hat i - 4 hat j -4 hat k = 2 hat i j + hat k and vec c = hat i - 3 hat j - 5 hat k , respectively from the vertices of a right angled triangle.

Show that the points A,B and C with position vectors,vec a=3hat i-4hat j-4hat kvec b=2hat i-hat j+hat k and vec c=hat i-3hat j-5hat k respectively form the vertices of a right angled triangle.

The values of a for which the points A,B, and C with position vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k, and ahat i-3hat j+hat k respectively,are the vertices of a right-angled triangle with C=(pi)/(2) are

Show that the points A,B,C with position vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k and 3hat i-4hat j-4hat k respectively,are the vertices of a right angled triangle.Also,find the remaining angles of the triangle.

The values of a,for which points A,B,C with position vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k and ahat i3hat j+hat k respectively are the vertices of a right angled triangle with C=(pi)/(2) are

Prove that the points hat i-hat j,4hat i-3hat j+hat k and 2hat i-4hat j+5hat k are the vertices of a right angled triangle.

Show that the points, A, B and C having position vectors (2hat(i)-hat(j)+hat(k)), (hat(i)-3hat(j)-5hat(k)) and (3hat(i)-4hat(j)-4hat(k)) respectively are the vertices of a rightangled triangle. Also, find the remaining angles of the triangle.

Show that the four points A,B,C and D with position vectors 4hat i+5hat j+hat k,-(hat j+hat k),3hat j+9hat j+4hat k and 4(-hat i+hat j+hat k) respectively are coplanar.

Show that the vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k and quad 3hat i-4hat j-4hat k form the vertices of a right angled triangle