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Question 23

Mathematics Scalar and Vector Products Hard

If \(\vec a,\; \vec b\) and \(\vec c\) are the position vectors of the vertices A, B, C of a triangle ABC, then the area of the triangle ABC is

(A) \(\frac 1 2 |\vec a \times \vec b + \vec b \times \vec c + \vec c \times \vec a|\)

(B) \(|\vec a \times \vec b|\)

(C) \(\frac 1 2 |\vec a \times \vec b - \vec b \times \vec c \times -\vec c \times \vec a|\)

(D) \(|\vec a \times (\vec b \times \vec c)|\)

View Dynamic Solution & Explanation ▼

Correct Solution: Option A

Step-by-step Solution:

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