does multiplying the square of two vectors the same as squaring the dot product of the two vectors. i.e.(a)^2.(b)^2=(a.b)^2? where a and b represent vectors
Answers
Answer:
Understanding the Dot Product and the Cross Product ... - UCLA Math
(2) to get: θ = arccos. ( a · b. a b. ) The fact that the dot product carries information about the angle between the two vectors is the basis of.
Step-by-step explanation:
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In the definition of the dot product, the direction of angle ϕ does not matter, and ϕ can be measured from either of the two vectors to the other because cosϕ=cos(−ϕ)=cos(2π−ϕ). The dot product is a negative number when 90°<ϕ≤180° and is a positive number when 0°≤ϕ<90°. Moreover, the dot product of two parallel vectors is
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=ABcos0°=AB, and the dot product of two antiparallel vectors is
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=ABcos180°=−AB. The scalar product of two orthogonal vectors vanishes:
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=ABcos90°=0. The scalar product of a vector with itself is the square of its magnitude: