Let `A B C` be a triangle, the position vectors of whose vertices are `7 hat j+10 hat k ,- hat i+6 hat j+6 hat ka n d-4 hat i+9 hat j+6 hat kdotT h e n"Delta"A B C` is a. isosceles b. equilateral c. right angled d. none of these

Let A B C be triangle, the position vecrtors of whose vertices are respectively hat i+2 hat j+4 hat k , -2 hat i+2 hat j+ hat ka n d2 hat i+4 hat j-3 hat k . Then "Delta"A B C is a. isosceles b. equilateral c. right angled d. none of these

If the position vectors of the points A, B, C are -2hat i + 2hat j + 2hat k, 2hat i+ 3hat j +3hat k and -hat i 2hat j+3hat k respectively, show that ABC is an isosceles triangle.

The position vectors of the points A,B,C are 2hat i+hat j-hat k,3hat i-2hat j+hat k and hat i+4hat j-hat k respectively.These pooints Form an isosceles triangle Form a right triangle Are collinear Form a scalene triangle

If the position vectors of the vertices of a triangle be 2hat(i)+4hat(j)-hat(k), 4hat(i)+5hat(j)+hat(k) and 3hat(i)+6hat(j)-3hat(k) , then the triangle is

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.

If the vectors 4 hat i+11 hat j+m hat k ,\ 7 hat i+2 hat j+6 hat k\ a n d\ hat i+5 hat j+4 hat k are coplanar then m= 38 b. "\ "10"\ " c. -1 d. -10

Show that the points with position vectors -hat i+6hat j+6hat k,-4hat i+9hat j+6hat k and 7hat j+10hat k form a right-angled triangle.

Show that the vectors vec a=3 hat i-2 hat j+ hat k , vec b=3 hat j+5 hat k , vec c=2 hat i+ hat j-4 hat k from a right angled triangle.

The position vectors of vertices of a Delta ABC are 4hat(i)-2hat(j), hat(i)-3hat(k) and -hat(i)+5hat(j)+hat(k) respectively, then angle ABC is equal to