1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following inequalities in respect of vectors a and b

1. | a + b | $$\le$$ | a | + | b |

2. | a $$-$$ b | $$\ge$$ | a | $$-$$ | b |

Which of the above is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the magnitude of difference of two unit vectors is $$\sqrt 3 $$, then the magnitude of sum of the two vectors is
A
$${1 \over 2}$$ unit
B
1 unit
C
2 units
D
3 units
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the vectors $$\alpha \widehat i + \alpha \widehat j + \gamma \widehat k$$, $$\widehat j + \widehat k$$ and $$\gamma \widehat i + \gamma \widehat j + \beta \widehat k$$ lie on a plane, where $$\alpha$$, $$\beta$$ and $$\gamma$$ are distinct non-negative numbers, then $$\gamma$$ is
A
arithmetic mean of $$\alpha$$ and $$\beta$$
B
geometric mean of $$\alpha$$ and $$\beta$$
C
harmonic mean of $$\alpha$$ and $$\beta$$
D
None of the above
4
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The vectors a, b, c and d are such that a $$\times$$ b = c $$\times$$ d and a $$\times$$ c = b $$\times$$ d. Which of the following is/are correct?

1. (a $$-$$ d) $$\times$$ (b $$-$$ c) = 0

2. (a $$\times$$ b) $$\times$$ (c $$\times$$ d) = 0

Select the correct answer using the code given below.
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12