Determinants

Find the determinant of the following matrix and find the Area of the parallelogram formed by the two vectors. Matrix: i j k 1 1 -3 0 -6 5

Matrix operations

Let AX =C, If B is the inverse of A, then the solve the matrix X Matix B(3x3)row 1 = -17 78 24 row 2 = -3 13 4 row 3 = -10 16 5 Matrix C(1x3) row 1 = 24 row 2 = -686 row 3 = 2246

Proving the identity of an equation using double angle formulas

I need to prove the following identity without using the quotient identity: sin(2x)/cos(2x) = 2tan(x)/1-tan²(x) I need to use the double angle formulas for sine and cosine

Vector projection and follow-up

The diagram attached shows a rectangular solid, two of whose vertices are A=(0,0,0) and G=(4,6,3). a) Find vector projections of AG onto the following vectors: AB, [0,1,0], [-1,0,0] and [0,0,1]. b) Find the point on AC that is closest to the midpoint of GH (The diagram is on page 21 and it is problem 6) (As you can see ...continues

Simplify

please see attached

Find the slope

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True or false

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Slid Trigonometry : Type II Pyramid

This triangular pyramid is a type II as the book puts it. Three faces are right triangles and the 4th in a diagonal plane is an oblique triangle. The book explaines that if the angle to be found is in the oblique triangle you should solve for an auxilliary angle in the third right angle which lies at the same vertex as the requi ...continues

Trigonometric problem

Solve this trigonometric equation for x where 0

Solving for Angle Beta (Trigonometry Problem - Type IV)

In the attached problem I need to solve for the unknown angle Beta. The book calls it a type IV problem and gives the procedure on how to solve for a type IV problem. I have tried to solve this problem but with no luck. I have attached the problem, the procedures to solve for the type IV and the formulas and pictue of a type I ...continues