what is the angle between two vectors if their scalar product is equal to the vector product
Answers
Hello Friend!
Like all problems in physics, we start by expressing what is given:
Scalar product of two vectors= magnitude of vector product of same two vectors
Next introduce symbols, let the two vectors be a and b ,and let 0 be the angle between them(Place the two vectors in the cordinate plane, with their initial point at origin, the 0 is defined to be the smaller angle between them).
Next we use the formula, as scalar product of two vectors is defined as (ab cos0) where a and b are magnitude of vectors a and b ,
And as magnitude of vector product for two vectors is defined to be (ab sin0) where a and b are magnitude of vectors a and b ,
So we have,
ab cos 0= ab sin 0
Assume a and b not equal to 0,and cos 0 also not equal zero,
Then divide (ab cos0) to get:
tan 0=1
Or 0=pi/4
HOPE IT HELPS!
GOODDAY