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The unit vector to the points p1(0,1,0), p2(1,0,1), p3(0,0,1) is
Answer: a Explanation: The cross product of p1, p2, p3 is a X b = -j – k and its magnitude is 1.414. The unit normal vector is given by, (-j – k)/1.414.
Answer: a
See lessExplanation: The cross product of p1, p2, p3 is a X b = -j – k and its magnitude is 1.414.
The unit normal vector is given by, (-j –
k)/1.414.
Find a vector normal to a plane consisting of points p1(0,1,0), p2(1,0,1) and p3(0,0,1)
Answer: a Explanation: Distance vector from p1 and p2 is a = i – j + k. Distance vector from p1 and p3 is b = –j + k. The vector normal to these points is a X b = -j – k.
Answer: a
See lessExplanation: Distance vector from p1 and p2 is a = i – j + k. Distance vector from p1 and p3 is b = –j + k. The vector normal to these points is a X b = -j – k.
The divergence of distance vector is
Answer: b Explanation: The distance vector of any coordinates is generally, r = xi + yj + zk. The divergence of r is 1 + 1 + 1 = 3.
Answer: b
See lessExplanation: The distance vector of any coordinates is generally, r = xi + yj + zk. The
divergence of r is 1 + 1 + 1 = 3.
The distance vector is obtained in
Answer: d Explanation: Vector formed by connecting two points in space is distance vector. Thus, it is obtained in space coordinate system.
Answer: d
See lessExplanation: Vector formed by connecting two points in space is distance vector. Thus, it is obtained in space coordinate system.
Which of the following is not true?
Answer: c Explanation: Cross product of dot product of two vectors is a vector value.
Answer: c
See lessExplanation: Cross product of dot product of two vectors is a vector value.
Which of the Pythagorean Theorem is valid in Electromagnetics?
Answer: c Explanation: Option |dot product|2 + |cross product|2 = 1 gives |cos|2 + |sin|2 = 1, which is the right answer.
Answer: c
See lessExplanation: Option |dot product|2 + |cross product|2 = 1 gives |cos|2 + |sin|2 = 1, which is
the right answer.
The dot product of two vectors is a scalar. The cross product of two vectors is a vector. State True/False.
Answer: a Explanation: Dot product is an algebraic operation that takes two equal length sequences and returns a scalar. Cross product is a binary operation that calculates area of two vectors, thus vector quantity
Answer: a
See lessExplanation: Dot product is an algebraic operation that takes two equal length
sequences and returns a scalar. Cross product is a binary operation that calculates area of two vectors, thus vector quantity
Electromagnetic forces are defined by
Answer: b Explanation: The three left hand fingers denote electric field, magnetic field and wave propagation in free space, analogous to force, magnetic field and current respectively in any conductor.
Answer: b
See lessExplanation: The three left hand fingers denote electric field, magnetic field and wave
propagation in free space, analogous to force, magnetic field and current respectively in any conductor.
Lorentz force is based on,
Answer: b Explanation: Lorentz force is given by, F = q (v x B).Thus cross product is the answer.
Answer: b
See lessExplanation: Lorentz force is given by, F = q (v x B).Thus cross product is the answer.
Find whether the vectors are parallel, (-2,1,-1) and (0,3,1)
Answer: c Explanation: Two vectors are parallel when their cross product is zero. Since their cross product is 4i + 2j – 6k (non-zero), the vectors are not parallel.
Answer: c
See lessExplanation: Two vectors are parallel when their cross product is zero. Since their cross product is 4i + 2j – 6k (non-zero), the vectors are not parallel.