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Vectors (8-1 Introduction of vectors: (2)Sketch Vectors (Given magnitude…
Vectors
8-1 Introduction of vectors:
2)Sketch Vectors
Given magnitude & Angle
Asked to draw the vector
3)Operations geometrically
two methods:
Parallelogram method
Tail to tail, then draw the resultant vector
Triangle method
Head to tail, Then draw the resultant vector
Given Two vectors to draw the resultant
4)Rectangular Components
Used to express or resolve a vector into two perpendicular components
The rectangular components of a vector are horizontal and vertical
5)Component form of a vector
Given two vectors to find their component form
<X2-X1,y2-y1>
6)Magnitude of vector
Given Two vectors
7)Operations with vector
8)Unit vector
1)Linear combination
9)Component form
10)Directions angles of vector
8-3 Dot products and vector projection
11)Dot product
is an algebraic operation that takes two equal-length sequences of numbers and returns a single number.
12)Angle between two vectors
i where is the dot product and the magnitudes of the vectors. Two vectors are orthogonal if and only if the dot product is equal to zero,
13)Vector projection
The vector projection of a vector a on a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b.
Sarah Alrajhi - Haya Alaskar 12C
8-2 Vectors in coordinate plane
