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if vectorA=i+j-k and vectorB=2i+3j+pk are mutually perpendicular vectors,find the value of p if vectorA=i+j-k and vectorB=2i+3j+pk are mutually perpendicular vectors,find the value of p
first find the dot product of the two vectors A.B = (i+j-k).(2i+3j+pk) = 2+3-p = 0 (Since the dot productof two perpendicular vectors is zero).
first find the dot product of the two vectors
A.B = (i+j-k).(2i+3j+pk) = 2+3-p = 0 (Since the dot productof two perpendicular vectors is zero).
The scalar product to two vectors which are perpendicular is 0. so, A.B=2+3-p A.B=5-p since scalar product is 0 therefore 5-p=0 p=5
The scalar product to two vectors which are perpendicular is 0.
so,
A.B=2+3-p
A.B=5-p
since scalar product is 0
therefore
5-p=0
p=5
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