Question

In: Physics

Find the magnitude of the vector sum r of the vector displacements c and d whose...

Find the magnitude of the vector sum r of the vector displacements c and d whose components in meters along three perpendicular directions are cx= 7.8, cy= -3.8, cz= -6.4; dx= 4.7, dy= -2.1, dz= 3.7;

Expert Solution

Given:-

: is the resultant vector
and : are the displacement vectors.

Given displacement vectors have components along three perpendicular directions i.e X, Y and Z axes. These two vectors can be written as,

Where, are the unit vectors along three perpendicular axes X, Y and Z respectively.

Therefore,

The resultant vector gives us vector sum of and as,

This is the resultant vector.

Now, the magnitude of this vector is given as,

This is the required magnitude of the vector sum of the vector displacements and .

genius_generous answered 10 months ago

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