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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.
Which of the subsequent terms does NOT describe the number 9? Nine is NOT prime since it has 3 factors; 1, 3, and 9. Prime numbers have only 2 factors.
Consider the function f(x) = 2x 2 + 1. Find the equation of the tangent to the graph of f(x) at x = 2. [NOTE: when calculating f'(2), use first principles.
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The sum of the squares of two consecutive positive odd integers is 74. What is the value of the smaller integer? Let x = the lesser odd integer and let x + 2 = the greater odd
What is a two step equation that equals 8 ?
every rational nmber is expressible either as a_________or as a____________decimal.
An ice-cream cone has a hemispherical top. If the height of the cone is 9 cm and base radius is 2.5 cm, find the volume of ice cream cone.
Determine the equation of the plane that consists of the points P = (1, -2, 0), Q = (3, 1, 4) and R = (0, -1, 2). Solution To write down the equation of plane there is a re
If e were rational, then e = n/m for some positive integers m, n. So then 1/e = m/n. But the series expansion for 1/e is 1/e = 1 - 1/1! + 1/2! - 1/3! + ... Call the first n v
Smith keeps track of poor work. Often on afternoon it is 5%. If he checks 300 of 7500 instruments what is probability he will find less than 20 substandard?
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