NDA 2018 Paper 2 | Vector Algebra Question 35 | Mathematics

Let a, b and c be three mutually perpendicular vectors each of unit magnitude. If

A = a + b + c, b = a $$-$$ b + c and C = a $$-$$ b $$-$$ c, then which one of the following is correct?

| A | > | B | > | C |

| A | = | B | $$\ne$$ | C |

| A | = | B | = | C |

| A | $$\ne$$ | B | $$\ne$$ | C |

NDA 2018 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

What is (a $$-$$ b) $$\times$$ (a + b) equal to ?

a $$\times$$ b

2 (a $$\times$$ b)

| a |² $$-$$ | b |²

NDA 2018 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

A spacecraft located at $$\widehat i + 2\widehat j + 3\widehat k$$ is subjected to a force $$\lambda \widehat k$$ by firing a rocket. The spacecraft is subjected to a moment of magnitude

$$\lambda$$

$$\sqrt 3 $$$$\lambda$$

$$\sqrt 5 $$$$\lambda$$

None of these

NDA 2018 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

In a triangle ABC, if taken in order, consider the following statements

1. AB + BC + CA = 0

2. AB + BC $$-$$ CA = 0

3. AB $$-$$ BC + CA = 0

4. BA $$-$$ BC + CA = 0

How many of the above statement are correct?

One

Two

Three

Four

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