# Date Ma Name Two Vectors Parallel One Scalar Multiple Determine U Q

This post categorized under Vector and posted on March 12th, 2019.

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Are two vectors in the same direction if their dot product is greater than zeropositive I know they are orthogonal if their dot product is 0 so they can not be in the same direction.These two vectors arent parallel. This can be seen by noticing that (4left( frac12 right) 2) and yet (10left( frac12 right) 5 ne - 9). In other words we Stack Exchange network consists of 175 Q&A communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge and build their careers.

Each one of the vectors u 1 u 2 and u 3 is parallel to one of the base vectors and can be written as scalar multiple of that base. Let u 1 u 2 and u 3 denote these scalar multipliers such that one has The original vector u can now be written as . The scalar multipliers u 1 u 2 and u 3 are known as the components of u in the base described by the base vectors e 1 e 2 and e 3.Then u can be broken up into two components r and s such that r is parallel to v and s is perpendicular to v. r is called the projection of u onto v and s is called the component of u perpendicular to v .Geometrically the dot product of two vectors is the magnitude of one times the projection of the second onto the first. The symbol used to represent this operation is a small dot at middle height () which is where the name dot product comes from.