If $\vec{a}$ and $\vec{b}$ in space, given by $\vec{a}=\frac{\hat{i}-2\hat{j}}{\sqrt{5}}$ and $\vec{b}=\frac{2\hat{i}+\hat{j}+3\hat{k}}{\sqrt{14}}$ , then the value of $(2\vec{a}+\vec{b}).[(\vec{a} \times \vec{b}) \times (\vec{a}-2\vec{b})]$ is
Previous 10 Questions — NIMCET 2015
Nearest first
1
2
3
4
5
6
7
8
9
10
If $\vec{a}=4\hat{j}$ and $\vec{b}=3\hat{j}+4\hat{k}$ , then the vector form of the component of $\vec{a}$ alond $\vec{…
Topic: NIMCET 2015
Two towers face each other separated by a distance of 25 meters. As seen from the top of the first tower, the angle of …
Topic: NIMCET 2015
If $\vec{a}$ and $\vec{b}$ are vectors such that $|\vec{a}|=13$, $|\vec{b}|=5$ and $\vec{a} . \vec{b} =60$then the valu…
Topic: NIMCET 2015
The value of $tan(\frac{7\pi}{8})$ is
Topic: NIMCET 2015
A professor has 24 text books on computer science and is concerned about their coverage of the topics (P) compilers, (Q…
Topic: NIMCET 2015
If $x, y, z$ are three consecutive positive integers, then $log (1 + xz)$ is
Topic: NIMCET 2015
A harbour lies in a direction 60° South of West from a fort and at a distance 30 km from it, a ship sets out from the h…
Topic: NIMCET 2015
The number of one-to-one functions from {1, 2, 3} to {1, 2, 3, 4, 5} is
Topic: NIMCET 2015
Suppose that A and B are two events with probabilities $P(A) =\frac{1}{2} \, P(B)=\frac{1}{3}$ Then which of the
follo…
Topic: NIMCET 2015
If the angles of a triangle are in the ratio 2 : 3 : 7, then the ratio of the sides opposite to these
angles is
Topic: NIMCET 2015
Next 10 Questions — NIMCET 2015
Ascending by ID
1
2
3
4
5
6
7
8
9
10
Which letter would be 3rd to the right of the 7th letter from the left
Topic: NIMCET 2015
Which letter would be exactly in the middle of eighteenth letter from the beginning and fifteenth
from the end?
Topic: NIMCET 2015
How many 3-digit numbers divisible by 5, can be formed using the digits 2 3 5 6 7 and 9, without
repetition of digits?
Topic: NIMCET 2015
Using only 2, 5,10, 25 and 50 paise coins, what is the smallest number of coins required to pay
exactly 78 paise, 69 pa…
Topic: NIMCET 2015
Which of the following two patterns will fit in the blanks of the series
ZA5 ,Y4B, XC6, W3D, _________ , _________?
Topic: NIMCET 2015
Which of the following numbers comes next in the two-digit decimal number sequence 61, 52, 63,
94, ______?
Topic: NIMCET 2015
Three ladies X, Y and Z marry three men A, B and C. X is married to A, Y is not married to an
engineer. Z is not marrie…
Topic: NIMCET 2015
There are five books A, B, C, D and E placed on table. If A is placed blow E, C is placed above D,
B is placed below A …
Topic: NIMCET 2015
Among five children A, B, C, D and E, B is taller than E but shorter than D. A is shorter than C
but taller than D. If …
Topic: NIMCET 2015
What is C to A?
Topic: NIMCET 2015
