NDA 2016 Paper 2 | Vector Algebra Question 14 | Mathematics

A force $$F = 3\widehat i + 2\widehat j - 4\widehat k$$ is applied at the point (1, $$-$$ 1, 2). What is the moment of the force about the point (2, $$-$$1, 3) ?

$$\widehat i + 4\widehat j + 4\widehat k$$

$$2\widehat i + \widehat j + 2\widehat k$$

$$2\widehat i - 7\widehat j - 2\widehat k$$

$$2\widehat i + 4\widehat j - \widehat k$$

NDA 2016 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

What is a vector of unit length orthogonal to both the vectors $$\widehat i + \widehat j + \widehat k$$ and $$2\widehat i + 3\widehat j - \widehat k$$ ?

$${{ - 4\widehat i + 3\widehat j - \widehat k} \over {\sqrt {26} }}$$

$${{ - 4\widehat i + 3\widehat j + \widehat k} \over {\sqrt {26} }}$$

$${{ - 3\widehat i + 2\widehat j - \widehat k} \over {\sqrt {14} }}$$

$${{ - 3\widehat i + 2\widehat j + \widehat k} \over {\sqrt {14} }}$$

NDA 2016 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

If a, b and c are the position vectors of the vertices of an equilateral triangle whose orthocentre is at the origin, then which one of the following is correct?

a + b + c = 0

a + b + c = unit vector

a + b = c

a = b + c

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