a) A triangle ABC has vertices given by A(1,1,8), B(4,-3,-4) and C(-3,1,5)
(i) Determine the distance between B and C (in units).
(ii) Find the angle formed at the vertex A (2 decimal places)
Please help...
Hello, Unt0t!
You don't know the Distance Formula?A triangle ABC has vertices given by A(1,1,8), B(4,-3,-4) and C(-3,1,5)
(a) Determine the distance between B and C (in units).
The angle between two vectors, is given by: .(b) Find the angle formed at the vertex A (2 decimal places)
Let:
Let:
Then: .
. . . . . . . .
Therefore: .
Thanks, i've got another question now.
Let u = (1, -3, -1), v = (1, 1, 2), w = (-2, -2, 1), x = (-1, -1, 1).
a) By considering the dot product only, identify 2 vectors that will satisfy each of the following situations:
(i) the angle between them is less than (pie)/2;
(ii) the angle between them is greater than (pie)/2;
Justify your answers by considering the relationship between the dot product and the cosine of the angle.
b) Identify 2 vectors that will be perpendicular to each other. Justify your answer.