Answer:
50
Step-by-step explanation:
[15 ÷ 5 • 3 + (2³ – 3)] + [4 • (36 – 3³)]
[3 × 3 + (8 - 3)] + [4 × (36 - 27)]
(9 + 5) + (4 × 9)
14 + 36
50
Answer:
Let the vectors be
a = [0, 1, 2] and
b = [1, -2, 3]
( 1 ) The cross product of a and b (a x b) is the vector that is perpendicular (orthogonal) to a and b.
Let the cross product be another vector c.
To find the cross product (c) of a and b, we have
![\left[\begin{array}{ccc}i&j&k\\0&1&2\\1&-2&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C0%261%262%5C%5C1%26-2%263%5Cend%7Barray%7D%5Cright%5D)
c = i(3 + 4) - j(0 - 2) + k(0 - 1)
c = 7i + 2j - k
c = [7, 2, -1]
( 2 ) Convert the orthogonal vector (c) to a unit vector using the formula:
c / | c |
Where | c | = √ (7)² + (2)² + (-1)² = 3√6
Therefore, the unit vector is
or
[
,
,
]
The other unit vector which is also orthogonal to a and b is calculated by multiplying the first unit vector by -1. The result is as follows:
[
,
,
]
In conclusion, the two unit vectors are;
[
,
,
]
and
[
,
,
]
<em>Hope this helps!</em>
supplementary angles add up to 180 degrees
x + y = 180
x - y = 92
---------------add
2x = 272
x = 272/2
x = 136 <=== this is one angle
x + y = 180
136 + y = 180
y = 180 - 136
y = 44 <=== this is ur other angle
You will need one 1,000 box cube and 2 flat ones