A certain length measurement is performed 100 times. The mean value is 6.832 m, and the standard deviation is 1 cm. Assuming a normal distribution for the error in the measurement, how many readings fall within (a) 0.5 cm, (b) 2 cm, (c) 5 cm, and (d) 0.1 cm of the mean value?

Notes Week 2 LECTURE 3 Position vector from A to B = (Xb – Xa) i, (Ya – Yb)j, (Za – Zb)k STEPS TO FINDING FORCE VECTOR a. Find position vector along 2 points ^^^ b. Find the unit vector r(ab)/r(ab) c. Multiply the unit vector by the magnitude of the force EXAMPLE: r(ac) = (2i + 3j 6k)m and F = 420 N r(ac) = √2^2 + 3^2 + (6)^2 = 7m u(ac) = (2/7i + 3/7j + 6/7k) F(ac) = F(ac) * u(ac) F(ac) = (420N)* (2/7i + 3/7j 6/7k) F(ac) = (120i + 180j – 360k)N DOT PRODUCT The dot product of vectors A and B is defined as A ∙ B = ABcosϴ ϴ is always the smallest angle between A and B 1. The result of the dot product is a scalar 2. The units of the dot product is the product of the units of A and B **Basically asking how much of A lies in the axis of B or vice ver