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## Multiplying Vectors Aleks

This post categorized under Vector and posted on May 3rd, 2019.

Since the projection of a vector on to itself leaves its magnitude unchanged the dot product of any vector with itself is the square of that vectors magnitude. A A AA cos 0 A 2. Applying this corollary to the unit vectors means that the dot product of any unit vector with itself is one. In addition since a vector has no projection perpendicular to itself the dot product of any unit vector with any Vectors - What Are They gives an introduction to the subject. There are two useful definitions of multiplication of vectors in one the product is a scalar and in the other the product is a vector.

Example A plane is flying along pointing North but there is a wind coming from the North-West. The two vectors (the velocity caused by the propeller and the velocity of the wind) result in a slightly slower ground speed heading a little East of North.Multiply vectors a and b using the cross product formula to obtain (1_1)-(-1_4) (-1_-3)-(2_1) (2_4)-(1_-3). Simplify your response to 14 3-2 83 or 5 1 11. Write your answer in the i j k component form by converting 5.

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