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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.
Four-year-old Mariamma was reciting number names - some of them in order, and others randomly. The child's aunt, sitting nearby, asked her, "Can you write 'two'?" She said she coul
how to solve this? y = 7x - 12 y = x2 Solve the system using substitution.
Example Multiply 3x 5 + 4x 3 + 2x - 1 and x 4 + 2x 2 + 4. The product is given by 3x 5 . (x 4 + 2x 2 + 4) + 4x 3 . (x 4 + 2x 2 + 4) + 2x .
obtain the solution of y^4 +y=0
An integer is chosen at random from the first two hundreds digit. What is the probability that the integer chosen is divisible by 6 or 8. (Ans : 1/4 ) Ans:
distance between pair of straight lines
How many arrangements can be made from the letters of the word " VENUS " such that the order of the vowels remains the same?
theory behind the greatest term in the binomial expansion
Before going further, let us repeat an aspect of learning which is useful to keep in mind while formulating teaching strategies. A child who can add or subtract in the context of s
2x-3x=6
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