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1 If a is a non-zero vector of modulus a and m is a non-zero scalar, then ma is a unit vector if
2 For a non-zero vector a , the set of real numbers, satisfying l (5- x)a l<l 2al consists of all x such that
(a) 0<x<3 b) 3<x<7 c) -7<x<-3 d) -7<x<3
3. The direction cosines of the vector 3i-4j+5k are
A card is selected from a standard deck of 52 playing cards. Find the probability of selecting 1. a prime number under 10 given the card is red. (1 is not prime.)
using either the t-test or z-test calculate the correlation coefficient using the following values presented below.once
Calculate the monthly payment for each loan individually.
sean caught a prize fish last weekend. he was going to measure it but realized that his ruler was not long enough. he
At the 0.05 level of significance, is there any evidence of a linear relationship between Twitter activity and receipts?
Use a worksheet to simulate the rolling of dice. Use VlookUP function to select the outcome for each die
Rewrite the given linear programming problem as a maximization problem with constraints involving inequalities of the form ≤ (with the exception of the inequalities x ≥ 0, y ≥ 0)
A tank initially contains 120 L of pure water. A mixture containing a concentration of γ g/L of salt enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression in terms of γ for the amount ..
Find all the points of the parabola y^2=8x such that the perpendicular line segment from P to the directrix and the line segment from P to the Focus are two sides of an equilateral triangle.
Algorithm AnalysisA unimodal sequence is a sequence for which there exists a t such that strictly increases and then strictly decreases, where the subscript calculations are performed modulo n. That is, if the sequence is rotated to the lef..
Find the equation of the circle with center at the intersection of 4x + y - 4 = 0 and x - y - 6 = 0 and passing through (-1, -3). What is the equation of the circle passing through (12, 1) & (2, -3) and having its center on the line 2x - 5y + 10 = 0..
Prove or disprove that the subgroup H is normal in the group G and what is the order of the factor group D8=Z(D8)?
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