Determine the scalar projection of A=3a-2a-4a X in the direction of B=a_+5a 4.3309 ○ 3.1568 O 17 O2.1590 - 6a

Q: Let a = (-3, –4, –4) and b = (2, 2, 4) . Find scalars s and t so that sa + tb = (20, 4, 32) %3D %3D

A: We have to find the values of scalers s and t for a=-3,-4,-4 and b=2,2,4.

Q: Compute the orthogonal projection of v= 7 onto the line through 4 2 and the origin.

A:

Q: (-2,3,1,0,2). Find scalars a and b so that аи + bv 3 Let u = (2,1,0,1, –1) and v = (-8,8, 3, – 1,7).

A: u=2, 1, 0, 1, -1  &  v=-2, 3, 1, 0, 2

Q: Find the scalar equation for the plane passing through the point P=(−5, 3, 2) and containing the…

A:

Q: Find the image of the point A(-2, 4, 5) under a rotation of 60 degrees In the plane x = 2 about the…

A: We need to find image of given point.

Q: 2. Let A (1,-1,0) and B = (2,1,-2). (a) Solve for projgA. (b) Find the angle between projgA and A.

A:

Q: 6. Vector, scalar or meaningless? Explain. ») (ä - 5) + (7 - E) b) (å x 5) – (¿ x đ) c) dlã x )

A:

Q: Find the orthogonal projection of y = 8. 4 on W (1)-8} Span

A: The given problem is to find the orthogonal projection of y on the W is span of 2 vectors.

Q: Consider the three following points of R'. A = (0, 2, 2) B = (1, 1, 1) C = (-1, 1,2) (a) Find the…

A: The scalar equation of a plane is of the form: ax+by+cz+d=0, where a, b, c ,d are constants. The…

Q: Describe all solutions to Ax = 0 in parametric vector form for 1 -3 2 0 5 A - 00 00 1 2 0 -1 000 1 0…

A:

Q: Find the scalar projection ofb onto a when b = i- j-3 k, a= i+2j+ 2k. 1. scalar projection -2 5 2.…

A: The given vectors are b=i-j-3k and a=i+2j+2k

Q: Find the scalar equation for the plane passing through the points P1(4, -4, 5), P₂(1, 1, 10), and…

A:

Q: 1. 3) Suppose A = 4i-6j, B = i + 7j and C = 9i - 5j. Find (a) ||5B-3C|| (b) unit vector having the…

A:

Q: For the vectors à = (1, 0, −4) and ¯` = (5, 2, 1) what is the scalar a projection of onto a 1/17 √17…

A: The vectors are given by÷

Q: If T: R R´is a linear transformation such that 1 -4 T. .T -3 1 0. -3 and T 0 = 0. -2 4 then T 4 -1…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A C -³/4 - 1/4 9/8 - 1/4 - 1/4 AZ = O 1/8 1/4 Find the vector 7 such that. 2 O (note: DON'T USE…

A: Give that, A-1=-34-14098-1814-14-140 and Ax→=206 We have to find the value of x→

Q: Describe the loci zz−2z−2z+8 = 0 expressed in terms of conjugate coordinates z, z.

A: It is given thatzz¯-2z-2z¯+8=0Where,z¯ is the conjugate co-ordinate of z.We have describe the locus.