Mathematics

West Bengal Board · English · Class 12 · 46 questions with solutions

Q1LAMEDIUM

Let A(-2, 0, 3), B(0, 3, -3), C(3, 3, 5) and D (5, 4, 3) be four given points; find the acute angle between the lines AB and CD.

Solution:

Q2LAMEDIUM

Prove that:

Q3SAMEDIUM

Solution:

Q4VSAMEDIUM

Solution:

Q5LAMEDIUM

Solve:

Solution:

Q6VSAMEDIUM

Solution:

y =

Q7VSAMEDIUM

Find the cosine of the angle between the lines BA and BC where A, B, C are the points (1, 2, 3), (2, 5, - 1) and (- 1, 1, 2) respectively.

Solution:

Q8LAMEDIUM

Be vector method show that the points (2, - 3, 4), (- 2, 1, 0) and (1, - 2, 3) are collinear.

Q9VSAMEDIUM

If and are three unit vectors, find the angle between the vectors and .

Solution:

Q10LAMEDIUM

Show that the vector makes the same angel with the positive directions of coordinate axes.

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