Register

GATE Mechanical 2014 Set 1 | Question: 5

• recategorized by
0 votes
0 votes

Which one of the following describes the relationship among the three vectors, $\hat{i}+\hat{j}+\hat{k}$ , $2\hat{i}+3\hat{j}+\hat{k}$ and $5\hat{i}+6\hat{j}+4\hat{k}$ ?

  1. The vectors are mutually perpendicular
  2. The vectors are linearly dependent
  3. The vectors are linearly independent
  4. The vectors are unit vectors
• recategorized by
User Avatar

Please log in or register to answer this question.

← PreviousNext →
← Previous in categoryNext in category →
Answer:

Related questions

0 answers
0 votes
Arjun asked Feb 19, 2017
GATE Mechanical 2014 Set 4 | Question: 44
Consider a velocity field $\overrightarrow{V}=k(y\hat{i}+x\hat{k})$ , where $K$ is a constant. The vorticity, $Ω_Z$ , is $-K$ $K$ $-K/2$ $K/2$
Consider a velocity field $\overrightarrow{V}=k(y\hat{i}+x\hat{k})$ , where $K$ is a constant. The vorticity, $Ω_Z$ , is$-K$$K$$-K/2$$K/2$
0 answers
0 votes
Arjun asked Feb 19, 2017
GATE Mechanical 2014 Set 3 | Question: 3
Divergence of the vector field $x_2z\hat{i}+xy\hat{j}-yz\hat{k}$ at $(1,-1,1)$ is $0$ $3$ $5$ $6$
Divergence of the vector field $x_2z\hat{i}+xy\hat{j}-yz\hat{k}$ at $(1,-1,1)$ is$0$$3$$5$$6$
0 answers
0 votes
Arjun asked Feb 19, 2017
GATE Mechanical 2014 Set 2 | Question: 3
Curl of vector $\overrightarrow{F}=x^2z^2\hat{i}-2xy^2z\hat{j}+2y^2z^3\hat{k}$ is $(4yz^3+2xy^2)\hat{i}+2x^2z\hat{j}-2y^2z\hat{k}$ $(4yz^3+2xy^2)\hat{i}-2x^2z\hat{j}-2y^2z\hat{k}$ $2xz^2\hat{i}-4xyz\hat{j}+6y^2z^2\hat{k}$ $2xz^2\hat{i}+4xyz\hat{j}+6y^2z^2\hat{k}$
Curl of vector $\overrightarrow{F}=x^2z^2\hat{i}-2xy^2z\hat{j}+2y^2z^3\hat{k}$ is$(4yz^3+2xy^2)\hat{i}+2x^2z\hat{j}-2y^2z\hat{k}$$(4yz^3+2xy^2)\hat{i}-2x^2z\hat{j}-2y^2z\...
0 answers
0 votes
go_editor asked Feb 19, 2020
GATE2020-ME-1: 27
A vector field is defined as ... shell formed by two concentric spheres with origin as the center, and internal and external radii of $1$ and $2$, respectively, is $0$ $2\pi$ $4\pi$ $8\pi$
A vector field is defined as $$\overrightarrow{f}\left ( x,y,z \right )=\dfrac{x}{\left [ x^{2}+y^{2}+z^{2} \right ]^{\frac{3}{2}}}\widehat{i}\:+\:\dfrac{y}{\left [ x^{2}...
0 answers
0 votes
Arjun asked Feb 17, 2018
GATE2018-1-27
The value of the integral over the closed surface $S$ bounding a volume $V$, where $\overrightarrow{r} = x \hat{i} + y \hat{j}+z \hat{k}$ is the position vector and $\overrightarrow{n}$ is the normal to the surface $S$, is $V$ $2V$ $3V$ $4V$
The value of the integralover the closed surface $S$ bounding a volume $V$, where $\overrightarrow{r} = x \hat{i} + y \hat{j}+z \hat{k}$ is the position vector and $\over...
Voting & Accepting an answer helps improve the community
Link Copied!