Question

Dua buah vektor, yaitu P= 6i-5j+2k dan Q = 2i+2j+8k. Tentukan vektor R agar P-Q+R=0. Hitung pula besar vektor R?

Answer 1

R= -4 i + 7 j + 6 k

Step-by-step explanation:

Being P - Q + R = 0, solving for R you get:

R= Q - P

You know:

• P=6 i - 5 j + 2 k
• Q=2 i + 2 j + 8 k

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

Answer 2

As it is given to us

`P = 6i - 5j + 2k`

`Q = 2i + 2j + 8k`

also it is given that

P - Q + R = 0

so here we can rearrange it to find the value of R

`R = Q - P`

so here we have

`R = (2i + 2j + 8k) - (6i - 5j + 2k)`

`R = -4\hat i + 7\hat j + 6\hat k`

so the vector is given by above equation