You can use common sense to find resulting velocity of the plane in the case of tailwind and headwind, but if the wind changes direction once more and wind velocity is now at different angle, combining velocities is not any more trivial. Then, it’s just right time to use vector algebra. Vector Addition: 6 + 5 = ? Till now you naively thought that Not so fast! In vector algebra 6 + 5 = 11. 6 + 5 can be 10 and 2, and 8, and… There are a number of methods for carrying out the addition of two (or more) vectors. The most common methods are: and method of vector addition. “parallelogram” We’ll do it, but before that, we have to introduce multiplication of vector by scalar. Vectors that have the same magnitude and the same direction are the same. Vectors can be moved around as long as their length (magnitude) and direction are not changed. This is the same vector. It doesn’t matter where it is. It is determined ONLY by magnitude and direction, NOT by starting point. Multiplying vector by a scalar Multiplying a vector by a scalar will ONLY CHANGE its magnitude. Multiplying vector by 2 increases its magnitude by a factor 2, but does not change its direction. One exception: Opposite vectors Multiplying a vector by does not change the magnitude, “-1” but it does reverse it's direction Vector addition - head-to-tail method vectors: 6 units, E + 5 units,300 1. Vectors are drawn to scale in given direction. 2. The second vector is then drawn such that its tail is positioned at the head of the first vector. 3. The sum of two such vectors is the third vector which stretches from
You can use common sense to find resulting velocity of the plane in the case of tailwind and headwind, but if the wind changes direction once more and wind velocity is now at different angle, combining velocities is not any more trivial. Then, it’s just right time to use vector algebra. Vector Addition: 6 + 5 = ? Till now you naively thought that Not so fast! In vector algebra 6 + 5 = 11. 6 + 5 can be 10 and 2, and 8, and… There are a number of methods for carrying out the addition of two (or more) vectors. The most common methods are: and “parallelogram” method of vector addition. We’ll do it, but before that, we have to introduce multiplication of vector by scalar. Vectors that have the same magnitude and the same direction are the same. Vectors can be moved around as long as their length (magnitude) and direction are not changed. This is the same vector. It doesn’t matter where it is. It is determined ONLY by magnitude and direction, NOT by starting point. Multiplying vector by a scalar Multiplying a vector by a scalar will ONLY CHANGE its magnitude. Multiplying vector by 2 increases its magnitude by a factor 2, but does not change its direction. One exception: Opposite vectors Multiplying a vector by “-1” does not change the magnitude, but it does reverse it's direction Vector addition - head-to-tail method vectors: 6 units, E + 5 units,300 1. Vectors are drawn to scale in given direction. 2. The second vector is then drawn such that its tail is positioned at the head of the first vector. 3. The sum of two such vectors is the third vector which stretches from
1.2a._VECTORS_WORD_-HON.docx