Answer:
Vectors are usually described in terms of their components in a coordinate system. Even in everyday life we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if you ask someone for directions to a particular location, you will more likely be told to go 40 km east and 30 km north than 50 km in the direction 37° north of east.
In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is described by a pair of coordinates (x, y). In a similar fashion, a vector
→
A
in a plane is described by a pair of its vector coordinates. The x-coordinate of vector
→
A
is called its x-component and the y-coordinate of vector
→
A
is called its y-component. The vector x-component is a vector denoted by
→
A
x. The vector y-component is a vector denoted by
→
A
y. In the Cartesian system, the x and y vector components of a vector are the orthogonal projections of this vector onto the x– and y-axes, respectively. In this way, following the parallelogram rule for vector addition, each vector on a Cartesian plane can be expressed as the vector sum of its vector components:
Step-by-step explanation:
8 is the answer to your question
The second number in the sequence will be 53.
<em><u>Explanation</u></em>
The <u>difference between any two consecutive integers is always 1</u>.
Suppose, the five consecutive integers are: 
, 
, 
, 
and 
Given that, their sum is 270. So, the equation will be......
Thus, the second number in the sequence will be: 
Answer:
Step-by-step explanation:
Case I: use common logs:
2x log 3 = log 4, or 2x(0.47712) = 0.60206
Solving for x, we get 0.95424x = 0.60206, and then x = 0.60206/0.95424.
x is then x = 0.631
Case II: use logs to the base 3:
2x (log to the base 3 of 3) = (log to the base 3 of 4)
This simplifies to 2x(1) = 2x = (log 4)/log 3 = 1.262. Finally, we divide this
result by 2, obtaining x = 0.631
