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Properties of Cross product
If u, v and w are vectors and c is a number then
u→ * v→ = -v→ * w→ (cu→) * v→ = u→ * (cv→) = c (u→ * v→)
u→ * (v→ + w→) = u→ * v→ + u→ * w→ u→ • (v→ * w→) = (u→ * v→) • w→
Show that the points (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order are the vertices of a rhombus. Also find the area of the rhombus.
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