1
GATE PI 2011
MCQ (Single Correct Answer)
+1
-0.3
If $$A$$ $$(0,4,3),$$ $$B(0,0,0)$$ and $$C(3,0,4)$$ are there points defined in $$x, y, z$$ coordinate system, then which one of the following vectors is perpendicular to both the vectors $$\overrightarrow {AB} $$ and $$\overrightarrow {BC} $$.
A
$$16\widehat i + 9\widehat j - 12\widehat k$$
B
$$16\widehat i - 9\widehat j + 12\widehat k$$
C
$$16\widehat i - 9\widehat j - 12\widehat k$$
D
$$16\widehat i + 9\widehat j + 12\widehat k$$
2
GATE PI 2009
MCQ (Single Correct Answer)
+1
-0.3
The line integral of the vector function $$\overrightarrow F = 2x\widehat i + {x^2}\widehat j\,\,$$ along the $$x$$ - axis from $$x=1$$ to $$x=2$$ is
A
$$0$$
B
$$2.33$$
C
$$3$$
D
$$5.33$$
3
GATE PI 2008
MCQ (Single Correct Answer)
+1
-0.3
If $$\overrightarrow r $$ is the position vector of any point on a closed surface $$S$$ that encloses the volume $$V$$ then $$\,\,\int {\int\limits_s {\left( {\overrightarrow r \,.\,d\overrightarrow s } \right)\,\,} } $$ is equal to
A
$${1 \over 2}V$$
B
$$V$$
C
$$2V$$
D
$$3V$$
4
GATE PI 2005
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following is Not associated with vector calculus?
A
Stoke's theorem
B
Gauss Divergence theorem
C
Green's theorem
D
Kennedy's theorem
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