show that the vectors `3 hat(i)- 2hat(j)+ hat(k), hat(i)-3hat(j)+5hat(k) and 2hat(i)+ hat(j)- 4 hat(k)` form a right angled triangle

Show that the vectors 2hat(i)-hat(j)+hat(k),3hat(i)-4hat(j)-4hat(k), hat(i)-3hat(j)-5hat(k) form a right angled triangle.

Show that the vectors are coplanar hat(i)-2hat(j)+3hat(k),-2hat(i)+3hat(j)-4hat(k),-hat(j)+2hat(k)

Show that the vectors are coplanar 2hat(i)+3hat(j)+hat(k),hat(i)-hat(j),7hat(i)+3hat(j)+2 hat(k)

Show that the points A, B, C with position vector 2hat(i)-hat(j)+hat(k),hat(i)-3hat(j)-5hat(k)and3hat(i)-4hat(j)+4hat(k) respectively are the vector of a right angled triangle. Also, find the remaining angles of the triangle.

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

Show that the vectors 2 hat i - 3 hat j + hat k , - 4hati - hat j + 3 hat k and -2 hat i - 4hatj + 4 hat k are coplanar.

Show that the points whose position vectors are 2hat(i) + 3hat(j) - 5hat(k), 3hat(i) + hat(j) - 2hat(k) and 6hat(i) - 5hat(j) + 7hat(k) are collinear.

Determine whether the three vectors 2hat(i)+3hat(j)+hat(k),hat(i)-2hat(j)+2hat(k)and3hat(i)+hat(j)+3hat(k) are coplanar.

A vector perpendicular to both hat(i) + hat(j) + hat(k) and 2hat(i) + hat(j) + 3hat(k) is,