All vectors are in rn. check the true statements below:

a. for any scalar c, u* (cv) = c(u*v).

b. for a square matrix a, vectors in col a are orthogonal to vectors in nul a.

c. if vectors v1; : : : ; vp span a subspace w and if x is orthogonal to each vj for j = 1; : : : ; p, then x is in w(

d. if the distance from u to v is equal to the distance from u to -v, then u and v are orthogonal.

e. v*v =llvll^ 2

The mean of a set of data is -3.82 and its standard deviation is 2.31. find the z score for a value of 3.99.

Can u guys do this ratio question. this is extremely urgent a tap is leaking water at a rage of 1l every 8 hours. how long will it take for the tap to leak a total of 300ml?

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?