contestada

If A represents a vector two units in length directed due west, B represents a vector three units in length directed due north and A+B=C-D and 2B-A=C+D.
find the magnitudes and directions ofC and D.

Respuesta :

Answer:

Step-by-step explanation:

Given

Vector A has two units in length due to west i.e.

[tex]\vec{A}=-2\hat{i}[/tex]

Vector B has one unit in length due to North i.e.

[tex]\vec{B}=\hat{j}[/tex]

Also [tex]A+B=C-D[/tex]

i.e. [tex]C-D=-2\hat{i}+\hat{j}--------1[/tex]

also [tex]2B-A=C+D[/tex]

i.e. [tex]C+D=2\times \hat{j}+2\hat{i}------2[/tex]

From 1 and 2

[tex]2C=3\hat{j}[/tex]

[tex]C=1.5\hat{j}[/tex]

[tex]D=2\hat{i}+0.5\hat{j}[/tex]

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