Pls help! 16 points:)
2 answers:
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Answer:
The nonzero vector orthogonal to the plane is <-9,-8,2>.
Step-by-step explanation:
Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).
The nonzero vector orthogonal to the plane through the points P,Q, and R is
Expand along row 1.
Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.
Answer:
Step-by-step explanation:
Given
← factor both numerator and denominator
= ← cancel common factor (1 - 2b) on numerator/denominator
= ← cancel 6 and 3 by 3
=
<em>Answer:</em>
<em>r = -</em><em />
<em>Step-by-step explanation:</em>
<em>Rewrite the equation as </em><em> = m</em>
<em>Remove the radical on the left side of the equation by squaring both sides of the equation.</em>
<em>(</em><em> = m^2</em>
<em>Then, you simplify each of the equation. </em>
<em>Rewrite: (</em><em> as </em>
<em />
<em>Remove any parentheses if needed.</em>
<em>Solve for r. </em>
<em>Multiply each term by r and simplify."</em>
<em>Multiply both sides of the equation by 5.</em>
<em>6a+r= m^2r⋅(5)</em>
<em>Remove parentheses.</em>
<em>Move 5 to the left of (m ^2) r </em>
<em>6a+r=5m^2)r</em>
<em>Subtract 5m^2)r from both sides of the equation.</em>
<em>6a+r-5m^2)r=0</em>
<em>Subtract 6a from both sides of the equation.</em>
<em>r-5m^2)r=-6a</em>
<em>Factor r out of r-5m^2)r </em>
<em>r(1-5m^2)=-6a</em>
Divide each term by 1-5m^2 and simplify.
r = -
There you go, hope this helps!