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Find the scalar components and magnitude of the vector joining the points `P(x_1,y_1,z_1)`and `Q(x_2,y_2,z_2)` |
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Answer» Vector of joining `P(x_(1),y_(1),z_(1))` and `P(x_(1),y_(1),z_(1))` is : PQ = Position vector of Q - Position vector of P `=(x_(2)hat(i) + y_(2)hat(j) + z_(2)hat(k)) - (x_(1)hat(i) + y_(1)hat(j) + z_(1)hat(k))` `=(x_(2) - x_(1)) hat(i) + (y_(2) - y_(1))hat(j)+ (z_(2) - z_(1)) hat(k)` Scalar component of PQ are `x_(2)-x_(1), y_(2) -y_(1), z_(2)-z_(1)`. Magnitude of `vec(PQ)` `|vec(PQ)| = sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)+(z_(2)-z_(1))^(2))` |
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