Short Answer

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

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

$Area of the triangle determined by the two vectors = \frac{1}{2} |\vec{A} \times \vec{B}|$

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Step 1. Given Information

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

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.

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

$Area of the triangle determined by the two vectors = \frac{1}{2} |\vec{A} \times \vec{B}|$

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Short Answer

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

Step by Step Solution

Step 1. Given Information

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

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

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Short Answer

What is meant by the triangle determined by vectors u and v in ℝ3? How do you find the area of this triangle?

Step by Step Solution

Step 1. Given Information

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

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

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