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CBSE Class 12 Board Mathematics (041)

Vectors & Three Dimensional Geometry

14 of 80 marks

Direction cosines/ratios, skew lines shortest distance, and vector equations.

d=∣(a⃗2−a⃗1)⋅(b⃗1×b⃗2)∣b⃗1×b⃗2∣∣d = \left| \frac{(\vec{a}_2 - \vec{a}_1) \cdot (\vec{b}_1 \times \vec{b}_2)}{|\vec{b}_1 \times \vec{b}_2|} \right|

What this unit covers

  • Direction Cosines l2+m2+n2=1l^2 + m^2 + n^2 = 1

  • Shortest Distance Between Two Skew Lines

  • Angle Between Two Lines in Space

Other units in CBSE Class 12 Board Mathematics (041)