a = 4i + 3j, b = -4i + 4j
The required dotproduct of the given vector is given as -4.
Given that,
a = 4i + 3j, b = -4i + 4j
a • b is to be determined.
The dot × of twovectors is described as the sum of the products of the relevant directionalvector.
Here,
a.b = (4i + 3j).(-4i + 4j)
a.b = 4×-4 (i.i) + 3×4 (j.j) + 4×4 (i.j) + 3×-4(i.j)
a.b = -16 + 12
a.b = -4 (since i.j or j.i for dot product gives zero.)
Thus, the required dotproduct of the given vector is given as -4.
Learn more about dot product here:
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4 12
5 15
6 18
Equation: y = 3x
Which representation has the greatest slope?
The equation has the greatest slope.
The table has the greatest slope.
The table and equation have the same slope.
Their slopes cannot be determined.
Answer:
The table and equation have the same slope
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
Step 1
Find the slope of the table
we have
Substitute the values
Step 2
Find the slope of the equation
we have
------> the equation represent a linear direct variation
The slope is equal to
therefore
The table and equation have the same slope
Answer:
the table and equation have the same slope
Step-by-step explanation:
took the test and got a 100% :)