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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.
In a class, all pupils take Mathematics (M), 18 take Chemistry (C), 17 take Biology (B) and 24 take Physics (P) of those taking 3 subjects only, 5 take Physics and Chemistry, 7 ta
Let G be a group acting on a set X. The action is called faithful if for any g ≠ 1 ∈ G there exists an x ∈ X such that gx ≠ x. That is, only the identity fi xes everything. Prov
Question: Find all third order partial derivatives for the function F(x,y)= log xy+ e (x+y) -x/y.
Interval of Convergence After that secondly, the interval of all x's, involving the endpoints if need be, for which the power series converges is termed as the interval of conv
There is one final topic that we need to address as far as solution sets go before leaving this section. Consider the following equation and inequality.
Sequences and Series In this section we will be taking a look at sequences and infinite series. In fact, this section will deal approximately exclusively with series. Though
#question.x2-y2-4x-2y+3.
compare 643,251 633,512 and 633.893 the answer is 633.512 what is the question
nC6:n-3C3=91:4
A mailbox opening is 4.5 inches high and 5 inches wide. Determine the widest piece of mail able to ?t in the mailbox without bending? a. 9.5 inches b. 2.2 inches c. 6.7 in
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