Historians estimate that there were about 7 million people on the earth in 4,000 BCE. Now there are about 7 billion! We write 7
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We're given an inner product defined by
That is, we multiply the values of and
at
and add those products together.
The inner product is
To find the norms and
, recall that the dot product of a vector with itself is equal to the square of that vector's norm:
So we have
Finally, the angle between
and
can be found using the relation
Answer:
<h2>7</h2>Step-by-step explanation: