Here are questions 2 and 3 izzy2332
1 answer:
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Answer:
The answer is
Step-by-step explanation:
when writing scientific notation, there must be one number to the left of the decimal point.
To achieve this in this problem, you need to move the decimal point 3 times to the right.
because you are moving the point to the right, the exponent will be negative.
*rule of thumb: moving the decimal to the left will give you a positive exponent, moving to the right will give you a negative exponent*
therefore you answer should be written as:
hope this helps :)
Answer:
Step-by-step explanation:
The formula for the dot product of vectors is
u·v = |u||v|cosθ
where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.
which is
which is
I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.
We also need the angle, which of course has its own formula.
where uv has ITS own formula:
uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.
uv = 96.
To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:
which returns an angle measure of 30.7. Plugging that all into the dot product formula:
gives you a dot product of 96