d1=p+q=3i^+2j^−3k^, d2=p−q=−i^−k^.
d1×d2=−2i^+6j^+2k^, with magnitude 4+36+4=44=211.
Area of parallelogram with diagonals =21∣d1×d2∣=11 sq. units.
If = i + j - 2 k and q = 2 i + j - k, then the area of parallelogram having diagonals ( + q) and ( - q) is
CUET UG 2022 — Mathematics Algebra
2022mcqmedium
If p=i^+j^−2k^ and q=2i^+j^−k^, then the area of parallelogram having diagonals (p+q) and (p−q) is
Official previous-year question
Held on 30 Aug 2022 · Verified 13 Jul 2026.
Options
- A
411 sq. unit
- B
44 sq. unit
- C
11 sq. unit
- D
311 sq. unit
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