1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If a, b and c are the position vectors of the vertices of an equilateral triangle whose orthocentre is at the origin, then which one of the following is correct?
A
a + b + c = 0
B
a + b + c = unit vector
C
a + b = c
D
a = b + c
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the area of the parallelogram having diagonals $$3\widehat i + \widehat j - 2\widehat k$$ and $$\widehat i - 3\widehat j + 4\widehat k$$ ?
A
5$$\sqrt 5 $$ sq. units
B
4$$\sqrt 5 $$ sq. units
C
5$$\sqrt 3 $$ sq. units
D
15$$\sqrt 2 $$ sq. units
3
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$\widehat a$$ and $$\widehat b$$ of two unit vectors and $$\theta$$ be the angle between them.
What is $$\cos \left( {{\theta \over 2}} \right)$$ equal to ?
A
$${{\left| {\widehat a - \widehat b} \right|} \over 2}$$
B
$${{\left| {\widehat a + \widehat b} \right|} \over 2}$$
C
$${{\left| {\widehat a - \widehat b} \right|} \over 4}$$
D
$${{\left| {\widehat a + \widehat b} \right|} \over 4}$$
4
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$\widehat a$$ and $$\widehat b$$ of two unit vectors and $$\theta$$ be the angle between them.
What is $$\sin \left( {{\theta \over 2}} \right)$$ equal to ?
A
$${{\left| {\widehat a - \widehat b} \right|} \over 2}$$
B
$${{\left| {\widehat a + \widehat b} \right|} \over 2}$$
C
$${{\left| {\widehat a - \widehat b} \right|} \over 4}$$
D
$${{\left| {\widehat a + \widehat b} \right|} \over 4}$$
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