You visited us 1 times! Enjoying our articles? Unlock Full Access!

Applications of Cross Product

If a⃗, b⃗, ...

Question

If $\to a, \to b, \to c$ are the position vectors of the vertices of the triangle $A B C$ , then write the formula of the area of $△ A B C$ .

Open in App

Solution

If $\to a, \to b, \to c$ are the position vectors of the vertices of the triangle $Δ A B C$ , the area of the triangle is given by half of the cross product of its two sides.
i.e. $\frac{1}{2} | \to a - \to b \times (\to c - \to b) |$

Suggest Corrections

Similar questions

\to a, \to b, \to c

A B C,

A B C .

\to a, \to b, \to c

A B C

\to a \times \to b + \to b \times \to c + \to c \times \to a =

\to a, \to b, \to c

\to a, \to b, \to c

x y z

\to a \times \to b = \to b \times \to c = \to c \times \to a \neq \to 0

A, B, C

\to a, \to b, \to c

A B C

\to a, \to b, \to c

Δ A B C

Join BYJU'S Learning Program