1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let a, b and c be three vectors such that a + b + c = 0 and | a | = 10, | b | = 6 and | c | = 14.
What is a . b + b . c + c . a equal to?
A
$$-$$332
B
$$-$$166
C
0
D
166
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let a, b and c be three vectors such that a + b + c = 0 and | a | = 10, | b | = 6 and | c | = 14.
What is the angle between a and b?
A
30$$^\circ$$
B
45$$^\circ$$
C
60$$^\circ$$
D
75$$^\circ$$
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
In a right-angled triangle ABC, if the hypotenuse AB = p, then what is AB . AC + BC . BA + CA . CB equal to ?
A
p
B
p2
C
2p2
D
$${{{p^2}} \over 2}$$
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
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) ?
A
$$\widehat i + 4\widehat j + 4\widehat k$$
B
$$2\widehat i + \widehat j + 2\widehat k$$
C
$$2\widehat i - 7\widehat j - 2\widehat k$$
D
$$2\widehat i + 4\widehat j - \widehat k$$
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