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Vector Arithmetic
In this part we need to have a brief discussion of vector arithmetic.
Addition
We will begin with addition of two vectors. Thus, given the vectors a = a1 , a2 , a3 and b = b1 , b2 , b3 the addition of the two vectors is illustrated by the following formula.
a→ + b→ = (a1 + b1 , a2 + b2 , a3 + b3)
The following diagram gives the geometric interpretation of the addition of two vectors.
This is occasionally known as the parallelogram law or triangle law.
Simplify following and write the answers with only positive exponents. (a) ( x 8.2 y -0.26 z 2 ) 0.5 (b) (x 3 y -4.1 / x -2.7 ) -3 Solution (a) (x 8.2
2/10
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ABCD is a parallelogram which AB and CD are divides by P and Q. Such that AP:PB=3:2 and CQ:QD=4:1. If PQ and AC are meet at R, show that AR=3/7AC.
We now require addressing nonhomogeneous systems in brief. Both of the methods which we looked at back in the second order differential equations section can also be used now. Sin
Sin+cos
DEVELOPING ESTIMATION SKILLS : A study was done with some Class 3 and Class 4 children of five village schools to gauge how well they had understood the standard algorithms. The
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We are here going to begin looking at nonlinear first order differential equations. The first type of nonlinear first order differential equations which we will see is separable di
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