PCS 120 Chapter Notes - Chapter 3: Parallelogram Law, Parallelogram, Inverse Trigonometric Functions
17 Oct 2016
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3.1 Vectors
-Scalar quantity: a quantity that is fully described by a single number with units
-Vector quantity: a quantity having both a size and a direction
-Magnitude: the mathematical term for the length, or size, of a vector
→ the magnitude of a vector is a scalar quantity
→the agitude of the veloity vetor is the ojet’s speed
*Always write the arrow symbol over vectors
3.2 Properties of Vectors
-The displacement vector is a straight-line connection from the initial to the final position, and not
necessarily the actual path
-Two vectors are equal if they have the same magnitude and direction
*net=addition
-Resultant vector: the sum of two vectors
C=
-Tip-to-tail rule: slide the tail of
to the tip of
-Parallelogram rule: find the diagonal of the parallelogram formed by A and B
3.3 Coordinate Systems and Vector Components
-Component vectors: two new vectors of A parallel to the axes
find more resources at oneclass.com
find more resources at oneclass.com
Document Summary
Scalar quantity: a quantity that is fully described by a single number with units. Vector quantity: a quantity having both a size and a direction. Magnitude: the mathematical term for the length, or size, of a vector. The magnitude of a vector is a scalar quantity. The (cid:373)ag(cid:374)itude of the velo(cid:272)ity ve(cid:272)tor is the o(cid:271)je(cid:272)t"s speed. The displacement vector is a straight-line connection from the initial to the final position, and not necessarily the actual path. Two vectors are equal if they have the same magnitude and direction (cid:1829) =(cid:1827) +(cid:1828) . Tip-to-tail rule: slide the tail of (cid:1827) to the tip of (cid:1828) . Parallelogram rule: find the diagonal of the parallelogram formed by a and b. Component vectors: two new vectors of a parallel to the axes. The decomposition of vector (cid:1827) into its component vectors. Using the parallelogram rule, a is the vector sum of the two component vectors: (cid:1827) = (cid:1827) (cid:1876)+ (cid:1827) (cid:1877)
