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

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

The points A, B and C with position vectors a=3i-4j-4k,b=2i-j+kandc=i-3j-5k , respectively are

The value of 'a',for which the points A,B,C with position vectors 2vec i-vec j+vec k+vec k,vec i-3vec j-5vec k, and avec i-3vec j+vec k are vertices of a right angled triangle with /_C=(pi)/(2) are

Show that the points A, B and C with position vectors veca=3i-4j-4k,vecb=2i-j+k and vecc=i-3j-5k respectively form the vertices of a right angled triangle.

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

Show that the points A,B,C with position vectors 2hat ihat j+hat k,hat i35hat k and 3hat i4hat j4hat k respectively,are the vertices of a right-angled triangle.Hence find the area of the triangle.