(4.3) Let ~u =< 0, 1, 1 >, ~v =< 2, 2, 0 > and w~ =< −1, 1, 0 > be three vectors in standard form.
(a) Determine which two vectors form a right angle triangle?
(b) Find θ := ~ucw~ , the angel between the given two vectors. (2)
(4.4) Let x < 0. Find the vector ~n =< x, y, z > that is orthogonal to all three vectors (2) ~u =< 1, 1, −2 >, ~v =< −1, 2, 0 > and w~ =< −1, 0, 1 >.
(4.5) Find a unit vector that is orthogonal to both ~u =< 0, −1, −1 > and ~v =< 1, 0, −1 >.
(4.3)
(a)
Vectors and form a right angle triangle.
(b)
(4.4)
Since then such vector does not exist.
(4.5)
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