how to add and subtract vector quantities?
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To add or subtract two vectors, add or subtract the corresponding components. Let →u=⟨u1,u2⟩ and →v=⟨v1,v2⟩ be two vectors. The sum of two or more vectors is called the resultant. The resultant of two vectors can be found using either the parallelogram method or the triangle method .
655202
Adding and Subtracting Matrices. A matrix can only be added to (or subtracted from) another matrix if the two matrices have the same dimensions . To add two matrices, just add the corresponding entries, and place this sum in the corresponding position in the matrix which results.
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['First, keep the first number (known as the minuend).', 'Second, change the operation from subtraction to addition.', 'Third, get the opposite sign of the second number (known as the subtrahend)', 'Finally, proceed with the regular addition of integers.']
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There are two ways to add and subtract with numbers in standard form. The first is to write them both as the same power of ten and add or subtract the decimals. To add the numbers in standard form both numbers need to written using the same power of ten.
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['Find the difference each number is away from the mean, and then square that difference. For example, subtract 38 from 21 and then square the result. ... ', 'Add together the two values you calculated in the previous step. For the example, add 289 and 289 to get a result of 578.', 'This is the variance between the two numbers. Tip.']
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A force is a vector quantity. As learned in an earlier unit, a vector quantity is a quantity that has both magnitude and direction. To fully describe the force acting upon an object, you must describe both the magnitude (size or numerical value) and the direction.
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The graphical method of adding vectors A and B involves drawing vectors on a graph and adding them using the head-to-tail method. The resultant vector R is defined such that A + B = R. The magnitude and direction of R are then determined with a ruler and protractor, respectively.
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As shown, both terms are equal to 192. To add two or more monomials that are like terms, add the coefficients; keep the variables and exponents on the variables the same. To subtract two or more monomials that are like terms, subtract the coefficients; keep the variables and exponents on the variables the same.
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Just take the absolute value of their difference, then, if larger than 180, substract 360° and take the absolute value of the result. If the direction doesn't matter (you want the one that yields the smallest value), then do the reverse subtraction (mod 360) and calculate the smallest value of the two (e.g. with Math.
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['To find for the magnitude and direction of a resultant force when doing vector addition is to find first for the x and y components of the vectors to be added. ... ', '-x-axis. ... ', 'F1 = 5.6 newtons eastward; F2 = 12 newtons 30 degrees west of north; F3 = 9.4 newtons 60 degrees south of west.', 'F1 is eastward hence it is 0 degrees.']
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['Volume = πr2h.', 'Top Surface Area = πr2', 'Bottom Surface Area = πr2', 'Total Surface Area. = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)']
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Just use abs(x - y) . This'll return the net difference between the two as a positive value, regardless of which value is larger. Please share simpler or more pythonic approaches, if you have one. use this function.
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['Work out the Mean (the simple average of the numbers)', 'Then for each number: subtract the Mean and square the result (the squared difference).', 'Then work out the average of those squared differences. (Why Square?)']
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['Step 1: Find the coordinates of your two displacement vectors. ... ', 'Step 2: Move the second displacement vector so it starts where the first displacement vector ended. ... ', 'Step 3: Draw a new vector that is the addition of the two displacement vectors.']
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To find the “Mass Difference,” subtract the initial mass from the final mass.
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To add or subtract with powers, both the variables and the exponents of the variables must be the same. You perform the required operations on the coefficients, leaving the variable and exponent as they are.
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['If the subtracted number of ounces is greater than the original number of ounces, you can "borrow" 16 ounces from the original number of pounds: Reduce the original number of pounds by 1. Increase the original number of ounces by 16.', 'Subtract the ounces.', 'Subtract the pounds.']