What is the unit vector in direction of vector straight P with rightwards arrow on top space equals space minus 3 straight i with hat on top plus 2 straight j with hat on top plus 5 straight k with hat on top?


Unit vector in direction of  =  

Therefore, we get, 

 

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Can straight A with rightwards arrow on top. straight B with rightwards arrow on top space equals space straight A with rightwards arrow on top cross times straight B with rightwards arrow on top?


No, both cannot be equal to each other. This is because  is a scalar and  is a vector. A scalar quantity and a vector quantity cannot be equal. 

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What is the dot product of unit vector with itself?


The dot product of unit vector with itself is one. 
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#6 {main}</pre> then how are the two vectors related?


The two vectors are unlike parallel vectors.
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What is cross product of two parallel vectors?

When two vectors are parallel to each other angle between them is 0 and sin 0 = 0o. Therefore, their cross product of two parallel vectors is 0. 
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