As it is given to us
[tex]P = 6i - 5j + 2k[/tex]
[tex]Q = 2i + 2j + 8k[/tex]
also it is given that
P - Q + R = 0
so here we can rearrange it to find the value of R
[tex]R = Q - P[/tex]
so here we have
[tex]R = (2i + 2j + 8k) - (6i - 5j + 2k)[/tex]
[tex]R = -4\hat i + 7\hat j + 6\hat k[/tex]
so the vector is given by above equation
Answer:
R= -4 i + 7 j + 6 k
Explanation:
Being P - Q + R = 0, solving for R you get:
R= Q - P
You know:
Replacing the expressions of P and Q you get:
R= (2 i + 2 j + 8 k) - (6 i - 5 j + 2 k)
i, j and k indicate that the values correspond to the x, y and z components respectively. To subtract the vectors, their respective components are subtracted from each vector. So in this case:
R= (2-6) i + [2-(-5)] j + (8-2) k
So the answer is:
R= -4 i + 7 j + 6 k
