Question
Show that the area of the triangle contained between the vectors a and b is one half of the magnitude of a × b.
Solution
Consider two vectors OK = vector |a| and OM = vector |b|, inclined at an angle θ, as shown in the following figure.
Area of the triangle contained between the vectors a and b is one-half of the magnitude of a x b.
Area of the triangle contained between the vectors a and b is one-half of the magnitude of a x b.
