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How do you add non-collinear vectors?

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Answer:

To add two non-collinear vectors, you first need to draw them on a coordinate plane so that their tails are at the same point. Then, you can use the "tip-to-tail" method to add the vectors. This involves drawing a vector from the tail of the first vector to the tip of the second vector, and this new vector is the sum of the two original vectors.

For example, if you have two non-collinear vectors, A and B, and you want to find their sum, you would first draw them on a coordinate plane so that their tails are at the same point. Then, you would draw a vector from the tail of vector A to the tip of vector B. This new vector, which is the sum of vectors A and B, is the result of adding the two vectors.

To calculate the sum of the vectors using the tip-to-tail method, you would simply add the x and y components of the two vectors separately. For example, if vector A has an x component of 3 and a y component of 4, and vector B has an x component of 5 and a y component of 6, the sum of the two vectors would be a vector with an x component of 8 and a y component of 10.

It's important to note that the sum of two non-collinear vectors is not necessarily a non-collinear vector. The sum of two non-collinear vectors can be a non-collinear vector, a collinear vector, or a zero vector (if the two original vectors are opposites of each other).

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