{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2026-03-16T16:26:59.764Z","dateModified":"2026-03-16T16:26:59.764Z","typicalAgeRange":"11-18","educationalLevel":"KSEAB Class XII","assesses":"Mathematics - Vectors","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Vectors"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"KSEAB Class XII"}],"name":"Quiz about Vectors","about":{"@type":"Thing","name":"Mathematics - Vectors"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Vectors","text":"The position vector of the midpoint of the line joining the points $P(2,3,4)$ and $Q(4,1,-2)$ is}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"The midpoint of two points in 3D is obtained by averaging their corresponding coordinates."},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

$3\\hat{i} + 2\\hat{j} + \\hat{k}$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

$3\\hat{i} + 2\\hat{j} - \\hat{k}$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

$\\hat{i} - \\hat{j} - 3\\hat{k}$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

$-\\hat{i} + \\hat{j} + 3\\hat{k}$
\n\n

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

$3\\hat{i} + 2\\hat{j} + \\hat{k}$

","comment":{"@type":"Comment","text":"The midpoint of two points in 3D is obtained by averaging their corresponding coordinates."},"answerExplanation":{"@type":"comment","text":""}}}]}

The position vector of the midpoint of the line joining the points $P(2,3,4)$ and $Q(4,1,-2)$ is

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The Correct Option is A

Solution and Explanation

Top Questions on Vectors

Questions Asked in KSEAB Class XII exam