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How do you Evaluate Determinants?

In Mathematics, a determinant is a special number that is calculated from the square matrix. If A is a matrix,... View Article

What is the Cross Product of Two Parallel Vectors?

The cross product of two parallel vectors is a zero vector (i.e. \(\begin{array}{l}\vec{0}\end{array} \)). If \(\begin{array}{l}\vec{a}\end{array} \) and \(\begin{array}{l}\vec{b}\end{array} \)... View Article

What is Transpose Mean?

In Mathematics, transpose means flipping a matrix over its diagonal. In other words, the rows and columns of a matrix... View Article

What are the 3 Conditions of Continuity?

If a function is said to be continuous at x=a, it should possess all the the three conditions: f(a) should... View Article

What is the 4th square root of 32?

The fourth root of any number say a is the value b such that when we multiply b for four... View Article

The value of [latex](cos \pi/2 + i \: sin \pi/2)(cos \pi/4 + i \: sin \pi/4)(cos \pi/8 + i \: sin \pi/8)…infinity \: is[/latex]

(1) 1 (2) 0 (3) -1 (4) None of these (cos π/2 + i sin π/2)(cos π/4+i sin π/4)(cos π/8+i... View Article

If z1 = 1 + 2i and z2 = 3 + 5i, then Real part of bar (z2 )z1/z2 (1) -31/17 (2) 17/22 (3) -17/31 (4) 22/17

Given z1 = 1 + 2i and z2 = 3 + 5i. \(\begin{array}{l}\bar{z_{2}}\end{array} \) = 3-5i \(\begin{array}{l}\bar{z_{2}}\frac{z_{1}}{z_{2}}\end{array} \) = (3-5i)(1+2i)/(3+5i)... View Article

If arg (z) = theta , then arg (bar {z}) is equal to (1) theta – pi (2) pi-theta(3) theta (4) -theta

Given arg (z) = θ z = r cos θ+i sin θ \(\begin{array}{l}\bar{z}\end{array} \) = r cos θ-i sin θ... View Article

The complex numbers sin x + i cos 2x and cos x – i sin 2x are conjugate to each other for (1) x = npi (2) x = (n+½)pi (3) x = 0 (4) No values of x

Given sin x + i cos 2x and cos x – i sin 2x are conjugate to each other. \(\begin{array}{l}\overline{sin... View Article

For any two complex numbers Z1 and Z2 and any real numbers a and b, |(az1 – bz2)|^2+ |(bz1 + az2)|^2 is equal to (1) (a^2+b^2)(|z1|+|z2|)(2) (a^2+b^2)(|z1|^2+|z2|^2)(3) (a^2+b^2)(|z1|-|z2|^2)(4) None of these

Question. For any two complex numbers Z1 and Z2 and any real numbers a and b, |(az1 – bz2)|2+ |(az1 +... View Article

Who Discovered Speed?

The Italian physicist Galileo Galilei is credited with the discovery of speed. Galileo first measured speed by considering the distance... View Article

What happens to resistance when length is doubled?

The expression to find the resistance is given as follows: \(\begin{array}{l}R=\frac{\rho L}{A}\end{array} \) From the equation, we understand that resistance... View Article

If z is a complex number such that z = – bar z, then (1) z is purely real (2) z is purely imaginary (3) z is any complex number (4) real part of z is same as its imaginary part

Solution: Let z = x+iy \(\begin{array}{l}-\bar{z}\end{array} \) = -(x-iy) z = \(\begin{array}{l}-\bar{z}\end{array} \) => x+iy = -x+iy 2x = 0... View Article

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Latest Posts

How do you Evaluate Determinants?

What is the Cross Product of Two Parallel Vectors?

What is Transpose Mean?

What are the 3 Conditions of Continuity?

What is the 4th square root of 32?

The value of [latex](cos \pi/2 + i \: sin \pi/2)(cos \pi/4 + i \: sin \pi/4)(cos \pi/8 + i \: sin \pi/8)…infinity \: is[/latex]

If z1 = 1 + 2i and z2 = 3 + 5i, then Real part of bar (z2 )z1/z2 (1) -31/17 (2) 17/22 (3) -17/31 (4) 22/17

If arg (z) = theta , then arg (bar {z}) is equal to (1) theta – pi (2) pi-theta(3) theta (4) -theta

The complex numbers sin x + i cos 2x and cos x – i sin 2x are conjugate to each other for (1) x = npi (2) x = (n+½)pi (3) x = 0 (4) No values of x

For any two complex numbers Z1 and Z2 and any real numbers a and b, |(az1 – bz2)|^2+ |(bz1 + az2)|^2 is equal to (1) (a^2+b^2)(|z1|+|z2|)(2) (a^2+b^2)(|z1|^2+|z2|^2)(3) (a^2+b^2)(|z1|-|z2|^2)(4) None of these

Who Discovered Speed?

What happens to resistance when length is doubled?

If z is a complex number such that z = – bar z, then (1) z is purely real (2) z is purely imaginary (3) z is any complex number (4) real part of z is same as its imaginary part

If alpha and beta are two different complex numbers with..

If z is a complex number of unit modulus and argument..

The value of sum [latex]\sum_{n=1}^{13}(i^{n}+i^{n+1})[/latex] where i = √-1 equals

Is hydrochloric acid strong or weak

Why is tertiary carbocation more stable than secondary

What do you mean by binding energy

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