The Cartesian reference frame Oxx', is generated by rotating the Cartesian frame Ox,x, 45° in counterclockwise direction. Which one of the followings is correct regarding the elements of the 1 12 defined by х, rotation matrix T = |t, t, 11 = t2, tn = t2 1 =-42 B 41 = -12, 11 = -42 D

Q: The doctor prescribes 25mg/kg divided into 3 equal doses for a todddler whom was 42 lbs. find the…

A: The weight of the child is 42 lbs The weight of the child in kilograms is 42×0.4536=19.0512≈19…

Q: Consider the matrix 19 19 A = 19 10A° = 5XT + I2, When solving the matrix equation , the matrix X…

A:

Q: Determine whether the following matrix is orthogonal or not: cosa sina A = sinßsina cosß -sinßcosa…

A: To determine if a matrix is orthogonal or not, multiply the matrix by its transpose. If the…

Q: Write the 3D Rotation Matrix that first rotates around the y-axis by 0, = 45° followed by a rotation…

A:

Q: Drive The rotation matriX avound The X-axis at angle 30

A: This question is related to rotation  matrix.

Q: Find the inverge of the 2x2 matrix Cos t Sin t - Sine Cose

A:

Q: Which matrix could be used to rotate a vector 64 degrees clockwise about the origin? cos (-64) sin…

A: we have to find  matrix could be used to rotate a vector 64 degrees clockwise about the origin.

Q: A vector has the given initial and terminal points. What is the corresponding position vector?…

A: The location of a vector in a three-dimensional space is represented by its position vector.  Any…

Q: but not こ *6A-エ none of thesce

A: Let us assume two matrices A and B. To prove or disprove if AB=I then BA=I. Let us consider matrices…

Q: Find the position vector v that corresponds to the vector graphed below. Note that each box in the…

A: Given the query is find the component form of vector.

Q: Point A has coordinates of (9,7,4) and Point B has coordinates of (2,9,5). What is the x-component…

A: Given problem Given that   Point A has coordinates of (9,7,4) Point B has coordinates of (2,9,5)…

Q: Approximate proju and projw. -8 -7 -6 -5 -4 -3 -2 -1 proj u 5.491 projw 4.801 = vector u vector w -5…

A: Given thatWe have to approximate Projwu and Projuw.We know that

Q: Find the composed matrix for aligning a vector v along the unit vector j. Assume 3-D coordinate…

A: Given a vector v in the three dimensional coordinate system. And the unit vector j.   The component…

Q: 3. Using the result form question 2 find the coordinates of vector w (1, 2, 3) in basis B.

A: 3)

Q: Let b₁=(1). -(-9), --(-4), C1 = = (-3). {c₁, c2} be bases for R². Find the change of coordinates…

A:

Q: Write out the expressions a- Va in index notation for vector a

A: Let us consider a vectora→ = a1i^ +a2j^ +a3k^where a1 , a2, a3 are functions of (x1, x2 & x3)and…

Q: 3) Find the vector projection of A onto B. (Projs A). b\ If possible, use matrix inversion method to…

A:

Q: Find the equation (in standard form) of a circle containing points by using the matrices method:…

A:

Q: (d) Using matrices, find the images of the points (3,-2) and (5,1) under a rotation of 25° about the…

A:

Q: (1 point) Are the vectors u = [152], [-5 1 -4 and w= -21 25 -28] linearly independent? Choose If…

A: The vectors u→,v→,w→ are said to be linear independent if au→+bv→+cw→=0 for a=0,b=0,c=0 The vectors…

Q: Given u = ( 5, -3, 8) and v (k, 2, 4) calculate k, by using only vector | = 2 7| concepts, where…

A: Topic = Vector

Q: (7,4) by 210 4. Use matrices to rotate the vector degrees counterclockwise about the origin.

A:

Q: Find the coordinates of the wedge product a AbAc for а 3 (6, —3, — 2, 2), b= (-8,5,6,-7), с %3D (2,…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

A: Solution of the system of Linear equations

Q: Write down the 3 x 3 matrix that rotates a 2D point by angle about a point 0 p = (xp, yp).

A: Consider point .To write the  matrix that rotates a  point by angle  about a point .