Take the dot product, if the dot product is zero, they are orthogonal
<span>the dot product here is 15(-5) + 45(12) so the vectors are not orthogonal </span>
<span>to see if they are parallel, take the dot product again, using the definition </span>
<span>u dot v = mag u x mag v cos (theta) where mag is the magnitude of the vector and theta is the angle between them </span>
<span>we know from above that u dot v = 465 </span>
<span>mag u = sqrt[15^2+45^2]=47.43 </span>
<span>mag v = sqrt[5^2+12^2]=13 </span>
<span>so we know: </span>
<span>cos(theta) = 465/(47.43x13) = 0.75 </span>
<span>
so theta = 41 deg</span>
35=(5+2)+4
35=7+4
35=11
false so their is no answer
Answer:
Step-by-step explanation:
Step one: 9÷1.5= 6
Step two: 3·6=18
The actual book is 18 inches tall and 9 inches wide
Answer:
In this equation n = 15
Step-by-step explanation:
In order to find this, we first must make each term a base 3. Since 9 is 3 squared, we can change it easily to base 3.
3^5 * 9^5 = 3^n
3^5 * (3^2)^5 = 3^n
3^5 * 3^10 = 3^n
3^15 = 3^n
Now that we have both in simple term of 3 raised to a power, we can eliminate the 3's and see that 15 = n
Answer:
A) -3/2 and 7
Step-by-step explanation:
this equation factors to (2x+3)(x-7)
the goal is to solve for 0
if 2x+3=0 then x=-3/2
if x-7=0 then x=7
