1.

Find the unit vector perpendicular to the vectors A= 3i^ + j^ and B= 2i^ +j^ +5k^

Answer»

Answer:

Let a = 2i – j + K and b= 3i – 4j – k.

A unit vector PERPENDICULAR to a and b

= ± ((a × b)/(|a × b|))

Now,

(draw the image here)

= 5i + 5j – 5k = 5(i + j – k)

THUS, the unit vector = ± ((a × b)/(|a × b|))  

= ± (1/√3)(i + j – k).


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