<span>For two vectors u and v, the cross product can be expressed as follows:
(u2v3 - u3v2) i + (u3v1 - u1v3) j + (u1v2 - u2v1) k.
Consequently, we have m x n: ( (2 *-4) - (-5 * -2) ) i + ( (-5*6) - (3 *-4) )j + ( ( 3*-2) - (2*6))k,
which simplifies to ( -8 - 10) i + ( -30 + 12) j + ( -6 - 12) k.
Thus, the product of vectors m and n yields -18 i - 18j -18k</span>.
Answer:
m = - 3
Step-by-step explanation:
a³ + 27 can be recognized as a sum of cubes, which factors generally as
a³ + b³ = (a + b)(a² - ab + b²). Therefore:
a³ + 27
= a³ + 3³
= (a + 3)(a² - 3a + 9).
By comparing a² - 3a + 9 to a² + ma + 9, we find that
m = - 3.
Answer:
An eight-digit grid coordinate allows for precision within 10 meters.
Step-by-step explanation:
Grid coordinates are designed to direct accurately to a specific location by using a map that includes equally spaced vertical and horizontal lines, each assigned numbers to outline a place. The intersection of these vertical and horizontal lines has unique identifiers and creates small sections called grid squares.
The precision increases with the number of digits in the coordinate; an eight-digit designation gives accuracy to the nearest 10 meters.
There are seven rainbow colors: red, orange, yellow, green, blue, indigo, and violet, so 7 possible choices. When two events occur in sequence, multiply their probabilities. With replacement: P(violet)=1/7 and P(orange)=1/7, so P(violet then orange)=1/7 * 1/7 = 1/49. Without replacement: after picking violet, P(orange)=1/6, so P(violet then orange)=1/7 * 1/6 = 1/42.
To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.
Then we will assign a variable to represent the value and also shift the repeating segment to the left.
Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;
you can verify that using your calculator.
