Question

If B=(4 5) and | B |=9 find the value of y. (3 y)​
a) 6
b) 8
c) 10
d) 12

Answer 1

The value of y that satisfies |B| = 9 does not exist.

Step-by-step explanation:

To find the value of y, we need to solve the equation |B| = 9, where B = (4, 5).

|B| represents the magnitude (or length) of vector B, and it is calculated using the formula: |B| = sqrt(x^2 + y^2), where (x, y) are the components of B.

So, in this case, |B| = sqrt(4^2 + 5^2) = sqrt(16 + 25) = sqrt(41).

Since |B| = 9, we have sqrt(41) = 9. Squaring both sides of the equation, we get 41 = 9^2 = 81. However, this is not true, so there is no value of y that satisfies |B| = 9.