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Are the magnitude and direction fo (vec ...

Are the magnitude and direction fo `(vec A-vec B)` .
same as that of ` (vec A-vec B)` ?

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To determine whether the magnitude and direction of \(\vec{A} - \vec{B}\) are the same as that of \(\vec{B} - \vec{A}\), we will analyze both vectors step by step. ### Step 1: Define the Vectors Let: - \(\vec{A} = A_x \hat{i} + A_y \hat{j} + A_z \hat{k}\) - \(\vec{B} = B_x \hat{i} + B_y \hat{j} + B_z \hat{k}\) ### Step 2: Calculate \(\vec{A} - \vec{B}\) ...
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Knowledge Check

  • Two vectors vec A and vec B have equal magnitudes. If magnitude of vec A-vec B is equal to (n) times the magnitude of vec A-vec B , then angle between vec A and vec B is ?

    A
    ` cos^(-1) ((n-1)/(n-1))`
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  • Two vector vec(V)andvec(V) have equal magnitudes. If magnitude of vec(A)+vec(B) is equal to n time the magnitude of vec(A)-vec(B) , then angel to between vec(A) and vec(B) is

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