PHYS 2212L Chapter Notes - Chapter Addition And Multiplication of Vector: Dot Product, Unit Vector, Cross Product
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The components of the vector may, however, change. If a(cid:374)(cid:455) (cid:448)e(cid:272)tor a su(cid:271)te(cid:374)ds a(cid:374) a(cid:374)gle (cid:449)ith (cid:454)-axis, then its. Horizontal component a x = a (cid:272)os . Vertical component a y = a si(cid:374) . Magnitude of (cid:448)e(cid:272)tor a = ax2+ ay2 ta(cid:374) = a(cid:455) / a(cid:454) Subtraction of a vector b from a vector a is defined as the addition of vector -b (negative of vector b) to vector a. Thus, a b = a + (-b) Multiplication of a vector: by a real number. When a vector a is multiplied by a real number n, then its magnitude becomes n times but direction and unit remains unchanged: by a scalar. When a vector a is multiplied by a scalar s, then its magnitude becomes s times, and unit is the product of units of a and s but direction remains same as that of vector a.
