quadrant) Part 2: Expressing direction in different ways Express the direction 267 clockwise from the -x-axis in the following different ways. For this problem north is positive y and east is positive x. south of east . below the +x-axis . right of the vertical in quadrant 4 . counterclockwise from the -x-axis Submit Answer 3. [8/10 Points] DETAILS PREVIOUS ANSWERS MY NOTES Instructions Using the standard cartesian coordinate system, vectors that are pointing in the... . ...FIRST QUADRANT have a POSITIVE X-COMPONENT & POSITIVE Y-COMPONENT. ..SECOND QUADRANT have a NEGATIVE X-COMPONENT & POSITIVE Y-COMPONENT. ... THIRD QUADRANT have a NEGATIVE X-COMPONENT & NEGATIVE Y-COMPONENT. COURTLLQUADRANT ! DOCITIVELY COMPONENT . NEGATIVELY COMPONENT MacBook Pro esc @ # % 3 3 4 5 6 O Q W E R T Y tab U O A S D F G H caps lock J K1. [-/0 Points] DETAILS MY NOTES Vectors Content Name Formulas & Diagrams Notes . Vectors are quantities that have magnitude & direction. . Vectors are often represented with an arrow. The length of the arrow corresponds to the vector's magnitude. Magnitude negative. Vectors . Vectors that are pointing up & to the right are said to be in the first quadrant. . Vectors that are pointing up & to the left are said to be in the second quadrant. . Vectors that are pointing down & to the left are said to be in the third quadrant. . Vectors that are pointing down & to the right are said to be in the fourth quadrant. Axis Vectors . Axis vectors are parallel to one of the axes and consequently are not in any of the four quadrants. . Axis vectors have only one nonzero component. . For any vector, a right triangle can be drawn with the vector being the hypotenuse. The legs of the vector are represen components of the vector. A Vector Components I Ayl . Typically, one leg is horizontal (the x-component) and one leg is vertical (the y-component). . Components can be positive, negative, or zero. Typically, we use the standard Cartesian coordinate system which mea positive-x, left is negative-x, up is positive-y, & down is negative-y. |Axl . It's a right triangle, so that means the Pythagorean Theorem applies as well as all trig functions. A & B are two generic vectors. . R is called the "resultant vector"." Adding Vectors A + B = R- Ax + BX = RX Ay + By = Ry . To determine the sum of two vectors, you must separately determine the sum of their x-components & the sum of their . Once you know Rx & Ry, right triangle math (Pythagorean Theorem & trig functions) will allow you to determine R (the and the direction of R . n is a real number. nAx = RX . When you multiply a vector by a number, you multiply each component by the number. Vector Multipliers nA = R - nAy = Ry . The new magnitude is the product of the old magnitude & the absolute value of the factor. InAl = R . If n is positive, R will be parallel to A. . If n is negative, R will be anti-parallel to A. B D 63 . . Vectors B, C, D, & E are parallel. . Two vectors are parallel if they point in the same direction. Parallel Vectors . When adding parallel vectors, the magnitude of their sum is just the sum of their magnitudes. MacBook Pro-27 . Vector H is perpendicular to vectors | & J. 270 Two vectors are perpendicular if the directions they are pointing are 90 apart. Perpendicular Vectors . When adding or subtracting perpendicular vectors, you use the Pythagorean Theorem (using their magnitudes as the legs) 63 the resultant magnitude. No vector selected Sum - Values C# -20 -10 10 20 a Vector Addition W PRET : MacBook Pro esc % & 5 6 O