Q. 10 What is meant by the triangle de... [FREE SOLUTION]

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Chapter 10: Q. 10 (page 823)

What is meant by the triangle determined by vectors u and v in ${鈩�}^{3}$ ? 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.

$Area of the triangle determined by the two vectors = \frac{1}{2} |\overset{鈫�}{A} 脳 \overset{鈫�}{B}|$

Step by step solution

Step 1. Given Information

What is meant by the triangle determined by vectors u and v in ${鈩�}^{3}$ ? 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鈥檚 Formula.

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

$Area of the triangle determined by the two vectors = \frac{1}{2} |\overset{鈫�}{A} 脳 \overset{鈫�}{B}|$

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91影视

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

Short Answer

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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91影视

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

Short Answer

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.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Theoretical and Mathematical Physics

Decision Maths

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

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