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Given two vectors a = 3.6i - 3.5j and vector b = 6.9i + 8.7j. Find the direction of the vector a.

Question:

Given two vectors {eq}\rm \vec a = 3.6 \hat i - 3.5 \hat j {/eq} and {eq}\rm \vec b = 6.9 \hat i + 8.7 \hat j {/eq}. Find the direction of the vector {eq}\rm \vec a \ {/eq}.

Vector Cross-Product:

Any two vectors, when drawn at a common origin, would create a parallelogram. The area of this parallelogram is referred to as the area enclosed by the two vectors. To get the area of this parallelogram, one can simply compute the cross-product or the vector product of the said vectors where the magnitude of the resulting vector is the area.

Answer and Explanation:

The area spanned by two vectors can be determined by the magnitude of the cross-product of these vectors.

In this case,

{eq}\vec{a}\times \vec{b} =...

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Cross Product: Definition, Properties, Rules & Example

from High School Algebra II: Tutoring Solution

Chapter 1 / Lesson 23
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