1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$a = \widehat i - 2\widehat j + 5\widehat k$$ and $$b = 2\widehat i + \widehat j - 3\widehat k$$, then what is $$(b - a).(3a + b)$$ equal to ?
A
106
B
$$-$$106
C
53
D
$$-$$53
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If the position vectors of points A and B are $$3\widehat i - 2\widehat j + \widehat k$$ and $$2\widehat i + 4\widehat j - 3\widehat k$$ respectively, then what is the length of AB ?
A
$$\sqrt {14} $$
B
$$\sqrt {29} $$
C
$$\sqrt {43} $$
D
$$\sqrt {53} $$
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If in a right angled triangle ABC, hypotenuse AC = p, then what is AB . AC + BC . BA + CA . CB equal to?
A
p2
B
2p2
C
$${{{p^2}} \over 2}$$
D
p
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The sine of the angle between vectors $$a = 2\widehat i - 6\widehat j - 3\widehat k$$ and $$b = 4\widehat i + 3\widehat j - \widehat k$$ is
A
$${1 \over {\sqrt {26} }}$$
B
$${5 \over {\sqrt {26} }}$$
C
$${5 \over {26}}$$
D
$${1 \over {26}}$$
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