1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\widehat a$$ and $$\widehat b$$ are two unit vectors then the vector ($$\widehat a$$ + $$\widehat b$$) $$\times$$ ($$\widehat a$$ $$\times$$ $$\widehat b$$) is parallel to
A
($$\widehat a$$ $$-$$ $$\widehat b$$)
B
($$\widehat a$$ + $$\widehat b$$)
C
(2$$\widehat a$$ $$-$$ $$\widehat b$$)
D
(2$$\widehat a$$ + $$\widehat b$$)
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A force $$F = \widehat i + 3\widehat j + 2\widehat k$$ acts on a particle to displace it from the point $$A(\widehat i + 2\widehat j - 3\widehat k)$$ to the point $$B(3\widehat i - \widehat j + 5\widehat k)$$. The work done by the force will be
A
5 units
B
7 units
C
9 units
D
10 units
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
For any vector a

$${\left| {a \times \widehat i} \right|^2} + {\left| {a \times \widehat j} \right|^2} + {\left| {a \times \widehat k} \right|^2}$$ is equal to ?
A
$${\left| a \right|^2}$$
B
$$2{\left| a \right|^2}$$
C
$$3{\left| a \right|^2}$$
D
$$4{\left| a \right|^2}$$
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the vectors $$a\widehat i + \widehat j + \widehat k$$, $$\widehat i + b\widehat j + \widehat k$$ and $$\widehat i + \widehat j + c\widehat k$$ (a, b, c $$\ne$$ 1) are coplanar, then the value of $${1 \over {1 - a}} + {1 \over {1 - b}} + {1 \over {1 - c}}$$ is equal to
A
0
B
1
C
a + b + c
D
abc
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