Question

if vector ab =3i-j+2k and the coordinates of a are (0, -2, -1) find the coordinates of b

Answer 1

The coordinates of point B are (3,-3,1).

Step-by-step explanation:

The given vector is

$ab=3i-j+2k$

If two points are $P(x_1,y_1,z_1)$ and $P(x_2,y_2,z_2)$, then

$PQ=(x_2-x_1)i+(y_2-y_1)j+(z_2-z_1)k$

Point A is (0,-2,-1).

Let coordinates of point B are (x,y,z), them

$AB=(x-0)i+(y-(-2))j+(z-(-1))k$

$3i-j+2k=(x)i+(y+2)j+(z+1)k$

On comparing both sides we get

$x=3$

$y+2=-1\Rightarrow y=-3$

$z+1=2\Rightarrow z=1$

Therefore, the coordinates of point B are (3,-3,1).

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