What is the position vector of a point having coordinates (2, –1, 3)?

The position vector is given by 

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What is the rectangular component of vector left parenthesis negative 3 straight i with hat on top space minus space 5 straight j with hat on top right parenthesis along Z-axis? 


The rectangular component of the vector along z-axis is zero. 
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What is the angle subtended by the resultant of left parenthesis negative 2 straight i with hat on top minus 3 straight j with hat on top plus straight k with hat on top right parenthesis and left parenthesis negative 3 straight i with hat on top plus 3 straight j with hat on top minus straight k with hat on top right parenthesis with X-axis?


Here, 

 

Therefore, the angle subtended by the resultant of the vectors with X-axis is zero. 

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What is unit vector in direction of vector 5 straight j with hat on top ?


The unit vector is in the direction of 

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One of the rectangular components of velocity of a particle is 12 m/s and the other is 16 m/s. What is the speed of the particle?

The rectangular components of velocity of a particle is 12 m/s and 16 m/s. 

Therefore, the velocity of the particle, v =  

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