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Class 12

Vectors, Components and the Section Formula — Quiz

Five questions on vectors, components, direction cosines and the section formula. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. Find ∣a⃗∣\lvert\vec a\rvert for a⃗=2i^+3j^−6k^\vec a = 2\hat i + 3\hat j - 6\hat k.
  2. The unit vector in the direction of 3i^−4k^3\hat i - 4\hat k is
  3. For P(2,−1,3)P(2, -1, 3) and Q(5,3,3)Q(5, 3, 3), the length of PQ→\overrightarrow{PQ} is
  4. The direction cosines of 2i^−2j^+k^2\hat i - 2\hat j + \hat k are
  5. a⃗=i^+2j^\vec a = \hat i + 2\hat j and b⃗=4i^+5j^+3k^\vec b = 4\hat i + 5\hat j + 3\hat k. The point dividing the join internally in the ratio 1:21 : 2 has position vector
Unanswered questions are marked wrong.

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