Vector Fis proportional to vector A such that F = mA and m is a scalar.
(a) If A = 2.0i + 5.2j and F = 10.0i + 26.0j,what is m?
What is m=5?
10i+26j=5(2i+5.2j) ?
To find the scalar value m, we can use the fact that vector F is proportional to vector A. This means that the components of vector F are equal to the scalar m multiplied by the components of vector A.
Given A = 2.0i + 5.2j and F = 10.0i + 26.0j, we can compare the components to find the value of m.
Comparing the i-components of A and F, we have:
10.0i = m * 2.0i.
Since the i-components are equal, we can equate their coefficients:
10.0 = 2.0 * m.
Simplifying, we have:
m = 10.0 / 2.0.
m = 5.0.
Therefore, m is equal to 5.