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1 – Vector and Scalar, Distance and Position. There are two types of measurement: with ______________ or without. . Scalars: Magnitude only. Vectors: Magnitude and direction. y of an. object’s _________ is. • Distance ( ): the separation between two points. Ex, the. Usually measu. __________ needed. ex)
Find the distance between the pair of points, following the example: example: (1, 4) and (-3, 4) | 1 | = 1; | -3 | = 3 1 + 3 = 4 4 units 1.
Finding Distance of Two Points. Find the distance between each pair of points. (2,1),(−1,−3) (−2,−1),(2,2) (−1,0),(5,8) (−4,−1),(1,11) (3,−2),(−6,−14) (−6,0),(−2,3) (3,2),(11,17)
Distance, Midpoint, and Slope Formulas. Find the distance between each pair of points. 1) (0, -8), (-6, 0) 3) (4, 3), (-3, 6) 5) (-1, -6), (3, 7) 7) y.
When you describe a position, you must only specify a distance. 1. Directing someone to walk north and 2. west is describing a position in two dimensions. Whether motion occurs depends on the reference point you use.3. Displacement does not require movement.4. Matching
Plot the points ( − 6, 8) and ( − 6, − 3) on the coordinate plane below. What is the distance between these two points? units. 1 2 3 4 5 6 7 8 9 − 2 − 3 − 4 − 5 − 6 − 7 − 8 − 9 1 2 3 4 5 6 7 8 9 − 2 − 3 − 4 − 5 − 6 − 7 − 8 − 9 y x. Do 7 problems.
1. Determine the equation of the line passing through A(6, 5) and perpendicular to the line y = 2x + 3. 2. Solve the system of equations. 3. Calculate the distance between the points. Calculate the shortest distance between the point G(-4, 4) and the line y = 3x - 4.
