Vector problem

  • Thread starter brad sue
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Hi please, someone help me with those problems?

It's about three dimension space and it is about vectors properties:

Find the unit vectors u that are prependicular to both i+2j+k and 3i-4j+2k.

the second is:

Find two mutually perpendicular unit vectors that are perpendicular to 2i+3j

Thank you for your help

Brad
 

Answers and Replies

599
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Express the vector(s) you seek in terms of unknown coefficients (e.g. ai+bj+ck) and use the definition of 'perpendicular' (i.e. the dotproduct is zero) to find equations you can solve for these unknowns.
 
TD
Homework Helper
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You can also use the fact that the outer product (vectorial) of two vectors gives a new vector which is perpendicular to the first two. Divide by the norm to make it a unit vector.
 
281
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thanks

OK I gonna try your suggestion


da_willem said:
Express the vector(s) you seek in terms of unknown coefficients (e.g. ai+bj+ck) and use the definition of 'perpendicular' (i.e. the dotproduct is zero) to find equations you can solve for these unknowns.
 
208
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a vector perpendicular to two seperate vectors is created by using the cross product
 

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