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Question
If a straight line passes through the two given points, P1(x1,y1), and P2(x2,y2), then it is parallel to the vector:
If a straight line passes through the two given points, P1(x1,y1), and P2(x2,y2), then it is parallel to the vector:
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Solution
The correct option is B (x2−x1)^i+(y2−y1)^j+(z2−z1)^k
a line is parallel to any vector of the normal vector of line is parallel to vector SO normal vector of line passing through the point P1,P2→n=(x2−x1)^i+(y2−y1)^j+(z2−z1)^ka vector which is parallel to line will→n=(x2−x1)^i+(y2−y1)^j+(z2−z1)^k
a line is parallel to any vector of the normal vector of line is parallel to vector
SO normal vector of line passing through the point P1,P2
→n=(x2−x1)^i+(y2−y1)^j+(z2−z1)^k
a vector which is parallel to line will
→n=(x2−x1)^i+(y2−y1)^j+(z2−z1)^k
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