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

6).If vec PQ=3hat i+2hat j-hat k and the coordinates of P are(1,-1,2), find the coordinates of Q*(7). prove that the points hat i-hat j,4hat i-3hat j+hat k,2hat i-4hat j+5hat k are the vertices of a right angled triangle.

Show that the points A(2hat i-hat j+hat k),B(hat i-3hat j-5hat k),C(3hat i-4hat j-4hat k) are the vertices of a right angled triangle.

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

Show that the vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k and 2hat i+3hat j-4hat k are the sides of a right-angled triangle.

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

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 vector 2hat i-hat j+hat k,hat i-3hat j-5hat k,3hat i-4hat j-4hat k form the sides of a rights 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.