1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$a = \widehat i + \widehat j$$, $$b = 3\widehat i + 4\widehat k$$ and $$b = c + d$$, where c is parallel to a and d is perpendicular to a.
What is c equal to ?
A
$${{3(\widehat i + \widehat j)} \over 2}$$
B
$${{2(\widehat i + \widehat j)} \over 3}$$
C
$${{(\widehat i + \widehat j)} \over 2}$$
D
$${{(\widehat i + \widehat j)} \over 3}$$
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$a = \widehat i + \widehat j$$, $$b = 3\widehat i + 4\widehat k$$ and $$b = c + d$$, where c is parallel to a and d is perpendicular to a.
If $$d = x\widehat i + y\widehat j + z\widehat k$$, then which of the following equations is/are correct?

I. $$y - x = 4$$

II. $$2z - 3 = 0$$

Select the correct answer using the code given below.
A
Only I
B
Only II
C
Both I and II
D
Neither I nor II
3
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
4
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$$^\circ$$
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