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What is meant by the triangle determined by vectors u and v in 3? How do you find the area of this triangle?

Short Answer

Expert verified

Vectors u and v are visualized as directed line segments whose lengths are their magnitudes.

Areaofthetriangledeterminedbythetwovectors=12A×B

Step by step solution

01

Step 1. Given Information 

What is meant by the triangle determined by vectors u and v in 3? How do you find the area of this triangle?

02

Step 2. Firstly explaining meant by the triangle determined by vectors u and v in ℝ3

Vectors u and v are visualized as directed line segments whose lengths are their magnitudes. We will use this concept well in this concept explanation, the area of a triangle formed by vectors. Normally when we try to find out the area of a triangle, we usually find out the value by the formula of Heron’s Formula.

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Step 3. We can express the area of a triangle by vectors also. 

Areaofthetriangledeterminedbythetwovectors=12A×B

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