For two point charges placed at and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

For two point charges placed at P(x1,y1,z1)P(x_1,y_1,z_1) and Q(x2,y2,z2)Q(x_2,y_2,z_2), which of the following expressions represents the unit vector directed from PP to QQ? (a) (x1−x2) i^+(y1−y2) j^+(z1−z2) k^(x2−x1)2+(y2−y1)2+(z2−z1)2\dfrac{(x_1-x_2)\,\hat i+(y_1-y_2)\,\hat j+(z_1-z_2)\,\hat k}{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}} (b) (x2−x1) i^+(y2−y1) j^+(z2−z1) k^(x2−x1)2+(y2−y1)2+(z2−z1)2\dfrac{(x_2-x_1)\,\hat i+(y_2-y_1)\,\hat j+(z_2-z_1)\,\hat k}{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2} (c) (x2−x1) i^+(y2−y1) j^+(z2−z1) k^(x2−x1)2+(y2−y1)2+(z2−z1)2\dfrac{(x_2-x_1)\,\hat i+(y_2-y_1)\,\hat j+(z_2-z_1)\,\hat k}{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}} (d) (x2−x1) i^+(y2−y1) j^+(z2−z1) k^(x_2-x_1)\,\hat i+(y_2-y_1)\,\hat j+(z_2-z_1)\,\hat k

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