Consider `A, B, C and D` with position vectors `7hat i - 4hat j +7hat k ,hat i-6hat j +10 hat k, -hati-3hatj+4hatk and 5 hat i - hat j+ 5 hat k` respectively. Then ABCD is a

Consider points A, B, C and D with position vectors 7 hati - 4 hat j + 7 hat k , hati - 6 hat j + 10 hat k , - hati - 3 hatj + 4 hatk and 5 hati - hatj + 5 hatk respectively. Then, ABCD is a

Consider points A, B, C and D with position vectors 7 hati - 4 hat j + 7 hat k , hati - 6 hat j + 10 hat k , - hati - 3 hatj + 4 hatk and 5 hati - hatj + hatk respectively. Then, ABCD is a

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

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

Show that the points A, B,C and D with positions vectors 4 hat i +5 hat j + hat k, -( hat j + hat k), 3 hat i + 9 hat j + 4 hat k and -4 hat i + 4 hat j + 4 hat k respectively are coplanar.

Show that the four points A, B, C and D with position vectors 4 hat i+5\ hat j+ hat k ,-(\ hat j+ hat k),3 hat j+9\ hat j+4 hat k\ a n d\ 4( hat i+ hat j+ hat k) , respectively are coplanar.

Show that the four points A, B, C and D with position vectors 4hat(i) + 5hat(j) + hat(k) - hat(j) - hat(k), 3hat(i) + 9hat(j) + 4hat(k) and 4(-hat(i) + hat(j) + hat(k)) respectively are coplanar.

Show that the four points A,B,C and D with position vectors 4hat i+5hat j+hat k,-(hat j+hat k),3hat j+9hat j+4hat k and 4(-hat i+hat j+hat k) respectively are coplanar.

Prove that the 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 are coplanar.