Consider points A- B- C- D with position vectors 7-4-7k- -6-10k- -3-4k- and 5-5k- respectively- Then ABCD is a

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

Q. Show that the points

A, B, C

with position vectors

2^i -^j +^k,^i - 3^j - 5^k

and

3^i - 4^j - 4^k

respectively, are the vertices of a right-angled triangle. Hence find the area of the triangle.

Q. The position vectors of the point

A, B

and

C

are

2^i -^j +^k,^i - 3^j - 5^k

and

3^i - 4^j - 4^k .

The greatest angle of triangle

A B C

is.

Join BYJU'S Learning Program

Consider points A,B,C,D with position vectors 7^i−4^j+7^k, ^i−6^j+10^k, −^i−3^j+4^k and 5^i−^j+5^k respectively. Then ABCD is a

The correct option is C None of theseWe haveA=(7,−4,7) B=(1,−6,10)C=(−1,−3,4) D=(5,−1,5)Lets find−−→AB=(−6,−2,3) |−−→AB|=7−−→BC=(−2,3,−6) |−−→BC|=7−−→CD=(6,2,1) |−−→CD|=√41−−→DA=(2,−3,2) |−−→DA|=√17Its None of these

Consider points $A, B, C, D$ with position vectors $7^i - 4^j + 7^k$ , $^i - 6^j + 10^k$ , $-^i - 3^j + 4^k$ and $5^i -^j + 5^k$ respectively. Then $A B C D$ is a