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The last topic that we have to discuss in this section is that of parallel & perpendicular lines. Following is a sketch of parallel and perpendicular lines.
Suppose that the slope of Line 1 is m1 and the slope of Line 2 is m2. We can relate the slopes of parallel lines & we can relate slopes of perpendicular lines as.
parallel : m1 = m2
perpendicular : m1m2 = -1 or m2= -1/m1
Note down that for perpendicular lines there are two forms of the equation. The second is the morecommon & in this case usually we say that m2 is the negative reciprocal of m1.
find the matrix of the linear transformations T:R2->R2 defined by T(x,y,z)=(x+2y,x-3z).
Determine the Projection of b = (2, 1, -1) onto a = (1, 0, -2) There is a requirement of a dot product and the magnitude of a. a → • b → = 4 ||a
Give the Introduction to Scientific Notation? In mathematics, it can be very difficult and time-consuming to do calculations involving very large and very small numbers. This i
Create a detailed diagram to describe the equation of an ellipse in terms of it’s eccentricity and indicate how the foci and major and minor semi-axes are involved. Y
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Explain Simplifying Rational Expressions ? A rational expression, or algebraic fraction, is an expression in which you have a polynomial divided by a polynomial. Sometimes it
A discrete-valued random variable X takes values in 0, 1, 2, . . . , where p(X = i) = π i. (a) Write down formulas for: the p-value at X = i the probability distributi
if there are 12 boys how many girl will it be
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tracing of cardidods
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