<span>The dot product here is 10(9) + 6(5)=120
so the vectors are not orthogonal
</span><span>u.v = |u| x |v| cos (theta) ; theta is the angle between them
we know from above that u.v = 120
|u| = sqrt[10^2+6^2]=11.66
|v| = sqrt[9^2+5^2]=10.29
so we know:
theta =cos^-1 120/(11.66x10.29)
so theta = 25 degrees</span><span>
</span>
Answer:
Step-by-step explanation:
The following statements are true
- The expression -(-3.5) is equivalent to 3.5. The product of 2 minus sign will give a positive sign i.e -*- = + hence -(-3.5) = (-*-)*35 = +35 = 35.
- The opposite of 0 is itself. There is no negative value of zero hence 0 is still the same as -0 making the opposite of zero to still be be zero. The minus sign in -0 is insignificant due to the insignificance of the zero digit.
- The opposite of -3.5 is located 3.5 units to the right of 0 on the number line. Fora number line, the origin is always located at the centre. The value to the right are along the positive x-axis and are all positive values while the values located towards the left are the negative x-axis. The opposite value of - 3.5 is gotten by negating the value of -3.5 i.e -(-3.5) to give +3.5 and +3.5 is a positive value which is located towards the right of a number line.
This makes the fourth statement to be False
Answer:
<u>B (110)</u>
Step-by-step explanation:
Range is the difference between the largest and smallest number in a data set.
150 - 40 = 110
110 is the answer
Base = 2 x ( 9 - 2) = 14 meters
Height = 2 x (7 - 2) = 10 meters
Area of the triangle = 1/2 x 14 x 10 = 70 m²
Answer: 70 m²