Why dot product uses cos theta and cross product uses sine theta ?
Answers
❤ᴀɴꜱᴡᴇʀ❤
The distance is covered along one axis or in the direction of force and there is no need of perpendicular axis or sin theta. In cross product the angle between must be greater than 0 and less than 180 degree it is max at 90 degree. ... That's why we use cos theta for dot product and sin theta for cross product.....
❤ᴍᴀʀᴋ ᴀꜱ ʙʀᴀɪɴʟɪꜱᴛ❤
Answer:
The dot product can be used to find the length of a vector or the angle between two vectors. The cross product is used to find a vector which is perpendicular to the plane spanned by two vectors. It has many applications in physics when dealing with the rotating bodies.
The horizontal component is found by multiplying the force F by the cosine of the angle between F and d. In this sense, the cosine theta in the work equation relates to the cause factor - it selects the portion of the force that actually causes a displacement.