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What Is Vector Cross Product Used For

The cross product of two vectors is used to determine the vector that is perpendicular to the two vectors and is normal to the vector plane... View Article

How Do You Know If A Determinant Is Zero

There are three condition, where determinant can be zero. If the complete row of a matrix is zero If any row or column of a matrix is the... View Article

Why Does Cross Product Give Area

When two vectors undergo cross product, the resultant vector (by right hand rule) we get is perpendicular or orthogonal to two vectors and... View Article

How Do You Multiply Determinants

Suppose we have two 2x2 matrices, whose determinants are given by: ∆1 = a1 b2 − a2 b1 ∆2 = c1d2 - c2d1 Now multiply ∆1 and ∆2. ∆1∆2 =... View Article

How Do You Graph Parabolas

The equation of a parabola is given by: f(x) = ax2+bx+c To graph a parabola we need to find the vertex by using the formula: x = -b/2a and... View Article

What Is Sum Of Cross Products

By the property of vector product or cross product we can evaluate the sum of any two cross product. If A, B, C and D are four vectors, then; A... View Article

Who Uses Calculus

Calculus is used by professionals in various fields in real life, such as engineering, medicine, physics, economics and statistics. Calculus has... View Article

What Does Sine Curve Mean

Sine curve or sine graph represents the equation: y=a sin bx Where a and b are not equal to 0 Sine curve is a sinusoidal wave that goes up and... View Article

Which Single Bond Is Strongest

Usually, all single bonds are sigma bonds that are formed by a combination of atomic orbitals. Sigma bonds are the strongest covalent bonds where... View Article

What Does A Dot Product Represent

Dot product of two vectors represents the product of the magnitude of the one vector with the resolved component of the second vector and in the... View Article

What Is Equilibrium And Its Types

Equilibrium is a state in which neither the internal energy nor the movement of body changes with time. It has three different types, they are:... View Article

How Do You Convert Sin To Degrees

Since, we know, in a right triangle, sine of an angle is equal to the opposite to the angle and hypoteuse side. Let the angle be θ. Therefore,... View Article

What Is The Value Of Sin Theta

In a right-angled triangle, the value of sin theta is equal to the ratio of opposite side to theta and hypotenuse. Sin θ = Opposite side to... View Article

The Statement A Ib Less Than C Id Is True For

(1) a2+b2 = 0 (2) b2+c2 = 0 (3) a2+c2 = 0 (4) b2+d2 = 0 Solution: For a+ib < c+id to be true, they should be real numbers that are... View Article

The Least Positive Integer N Which Will Reduce I 1 By I 1 N To A Real Number Is

Solution: [(i-1)/(i+1)]n = [(i-1)(i-1)/(i+1)(i-1)]n = (i2-2i+1)/(-1-1) =-1-2i+1)/-2 = -2i/-2 = i i2 = -1 (-1 is a real number) So... View Article

I Power 2 I Power 4 Plus I 6 2n 1 Terms

Solution: i2+i4+i6 +...(2n+1) = -1+1-1+1….-1 (odd no. of terms) = -1 Hence option (4) is the answer.... View Article

1 Plus I Square I Power 4 I 2n Is

Solution: i2 = -1 i4 = 1 i6 = -1 Put n = 3 1+i2+i4+i6 = 1-1+1-1 = 0 Put n = 4 1+i2+i4+i6 +i8= 1-1+1-1 +1 = 1 The value will vary... View Article

If 2x Equal 3 5i Then The Value Of 2x 3 2x 2 7x 72 Is

Solution: Given 2x = 3+5i x = (3+5i)/2 x3 = (27+135i-225-125i)/8 = (-198+10i)/8 x2 = (9-25+30i)/4 = (30i-16)/4 Substitute x3, x2 in... View Article

The Value Of 1 I 5 1 I 5

Solution: (1+i)5(1-i)5 = (1+i)2(1+i)2(1+i)(1-i)2(1-i)2(1-i)..(i) (1+i)2= 1+2i-1 = 2i (1-i)2 = 1-2i-1 = -2i (1+i)(1-i) = 1+1 = 2 Substitute... View Article

If 1 I By 1 I3 1 I By 1 I3 X Iy

Solution: [(1+i)/(1-i)]3 - [(1-i)/(1+i)]3 = x+iy = [(1+i)2/(1-i2)]3-[(1-i)2/(1-i2)]3 = [(1+2i+i2)/(1+1)]2-[(1-2i+i2)/(1+1)]3 =... View Article

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