GATE IN 2013 | Vector Calculus Question 4 | Engineering Mathematics

GATE IN 2013

MCQ (Single Correct Answer)

-0.3

For a vector $$E,$$ which one of the following statements is NOT TRUE?

If $$\nabla .E = 0,E$$ is called

If $$\nabla \times E = 0,$$ $$E$$ is called conservative

If $$\nabla \times E = 0,$$ $$E$$ is called irrotational

If $$\nabla .E = 0,E$$ is called irrotational

GATE IN 2009

MCQ (Single Correct Answer)

-0.3

A sphere of unit radius is centered at the origin. The unit normal at a point $$(x, y, z)$$ on the surface of the sphere is the vector.

$$(x, y, z)$$

$$\left( {{1 \over {\sqrt 3 }},{1 \over {\sqrt 3 }},{1 \over {\sqrt 3 }}} \right)$$

$$\left( {{x \over {\sqrt 3 }},{y \over {\sqrt 3 }},{z \over {\sqrt 3 }}} \right)$$

$$\left( {{x \over {\sqrt 2 }},{y \over {\sqrt 2 }},{z \over {\sqrt 2 }}} \right)$$

GATE IN 2005

MCQ (Single Correct Answer)

-0.3

If a vector $$\overrightarrow R \left( t \right)$$ has a constant magnitude then

$$\overrightarrow R .{{d\overrightarrow R } \over {dt}} = 0$$

$$\overrightarrow R \times {{d\overrightarrow R } \over {dt}} = 0$$

$$\overrightarrow R .\overrightarrow R {{d\overrightarrow R } \over {dt}}$$

$$\overrightarrow R \times \overrightarrow R {{d\overrightarrow R } \over {dt}}$$

GATE IN Subjects

Engineering Mathematics