Consider the sets of vectors of the following form. Determine whether the sets are subspaces of R3. If a set is a subspace, give a basis and its dimension. (Enter your basis as a comma-separated list. Enter each vector in the form (x1, x2, ...). If a set is not a subspace, enter NA for its basis and dimension.)
How do I go about this last one?
(c) (a, b, 4) basis NA dimension NA
(d) (a, a, a + 5) (1.16)x basis dimension1

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

#faazmessi

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.