# 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.

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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