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Unit Vector and Zero Vectors
Unit Vector
Any vector along with magnitude of 1, that is || u→|| = 1, is called a unit vector.
Zero Vectors
The vector w→ = (0,0) is called a zero vector as its components are all zero. Zero vectors are frequently denoted by 0→. Be careful to differentiate 0 (the number) from 0→ denotes the vector. The number 0 represents the origin in space, whereas the vector 0→ denotes a vector that comprises no magnitude or direction.
#question.prove that the diagonals of a trapezium divide each other proportionally .
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Each week Jaime saves $25. How long will it take her to save $350? Divide $350 by $25; 350 ÷ 25 = 14 weeks.
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Consider the following interpolation problem: Find a quadratic polynomial p(x) such that p(x0) = y0 p’(x1) = y’1 , p(x2) = y2 where x0 is different from x2 and y0, y’1 , y2 a
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1. Use mathematical induction to prove whenever n is a positive integer. 2. Use loop invariant to prove that the program for computing the sum of 1,...,n is correct.
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