determine whether the given vectors are orthogonal, parallel, or neither.
determine whether the given vectors are orthogonal, parallel, or neither.
Answer: To determine whether two vectors are orthogonal, parallel, or neither, you can use the dot product (also known as the scalar product) of the vectors.
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Orthogonal Vectors: Two vectors are orthogonal if their dot product is equal to zero. Mathematically, if you have two vectors, A and B, then they are orthogonal if and only if A · B = 0.
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Parallel Vectors: Two vectors are parallel if one is a scalar multiple of the other. In other words, vector B is parallel to vector A if B = k * A, where “k” is a scalar constant.
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Neither: If the dot product is not zero, and one vector is not a scalar multiple of the other, then they are neither orthogonal nor parallel.
To determine the relationship between the given vectors, calculate the dot product of the vectors. If the dot product is zero, they are orthogonal. If one is a scalar multiple of the other, they are parallel. If neither condition is met, they are neither orthogonal nor parallel.
If you provide the specific vectors you are working with, I can help you calculate the dot product and determine their relationship.