00:01
Hi, from the question given that here use the scale or triple product to determine whether the points a of 3, 3, 2 and b of 4, minus 1, 7 and c of 8, 0, 1 and d of 7, 4, minus 4 that is lie on the same plane.
00:26
So, let a be the origin then ab vector is equal to ob vector minus oa vector.
00:44
So, that is equal to 4 comma minus 1 comma 7 minus 3 comma 3 comma 2.
00:52
So, ab vector is equal to 4 minus 3 is 1, minus 1 minus 3 is minus 4, 7 minus 2 is 5.
01:04
Similarly, ac vector is oc minus oa vector.
01:12
So, that is equal to oc is 8 minus 3 is 5 and 0 minus 3 is minus 3 and 1 minus 2 is minus 1.
01:25
Now ad vector is equal to od vector minus oa vector.
01:33
So, here 7 minus 3 is 4 and 4 minus 3 is 1, minus 4 minus 2 is minus 6...