NDA 2018 Paper 1 | Vector Algebra Question 40 | Mathematics

Let p and q be the position vectors of the points P and Q respectively with respect to origin O. The points R and S divide PQ internally and externally respectively in the ratio 2 : 3. If OR and OS are perpendicular, then which one of the following is correct?

9p² = 4q²

4p² = 9q²

9p = 4q

4p = 9q

NDA 2018 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

What is the moment about the point $$\widehat i + 2\widehat j - \widehat k$$ of a force represented by $$3\widehat i + \widehat k$$ acting through the point $$2\widehat i - \widehat j + 3\widehat k$$ ?

$$ - 3\widehat i + 11\widehat j + 9\widehat k$$

$$3\widehat i + 2\widehat j + 9\widehat k$$

$$3\widehat i + 4\widehat j + 9\widehat k$$

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

NDA 2018 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

If a + 2b + 3c = 0 and a $$\times$$ b + b $$\times$$ c + c $$\times$$ a = $$\lambda$$ (b $$\times$$ c), then what is the value of $$\lambda$$ ?

NDA 2018 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

If the vectors K and A are parallel to each other, then what is kK $$\times$$ A equal to ?

k²A

$$-$$ k²A

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