Find each scalar multiple. aа. 2(3, 1) b. 3(-5, 1) c. -(-6. 0)

Q: Write v as a linear combination of u and w, if possible, where u = (2, 3) and w= (2, -2). (Enter…

A: We want to write v in linear combination of u and w.

Q: 5. Find the symmetric equations of the line passing through A (-1,-8, 1) and B(-1,-4,3).

A: The symmetric equation of a line passing through the points

Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Given: plot P(2, -4, 1) and Q(0, 3, 4) .

Q: 5x-5u2-ux+25u

A: Rearrange the terms first.

Q: Which set of coordinates, when paired with (3, -3) and (10, -3), result in a square?

A:

Q: 4x squared-1=0

A: Solve the given equation

Q: If a=[5,-2,4] and [0,-2,3], find a -16 O [-2,15,10] [2,-15,-10] O [-2,-15,10] 10 xò.

A: a→=[5,-2,4]b→=[0,-2,3]

Q: Write the vector-valued function for the line containing (2.6,7) and (-4,-1.2). Use the equation…

A:

Q: Find the dot product. (-23, 4)·(13, –5) О -316 О -318 О-315 О -319 О -317

A: We need to evaluate the following dot product -23,4·13,-5 Formula used : x1,y1·x2,y2 = x1·x2+y1·y2

Q: Find u+v-2u. U= = (5, 3) and v = (-3,5) u+v-2u=

A:

Q: What is the component form of v?

A:

Q: Can (4,-2,4) be written as a linear combination of (1,0,1). (3,-4.1) and (4,-6,-2)?

A: We need to see if 4,-2,4 can be written as a linear combination of 1,0,1 , 3,-4,1 and 4,-6,-2 . We…

Q: Write v as a linear combination of u and w, if possible, where u = (3, 2) and w = (3, -1). (Enter…

A: Given  u=(3, 2),  w=(3, -1) and v=(-3, -2). Let  v = α·u + β·w We have to find the values of α and…

Q: 2) Find the Cartesian coordinates of the following : Зл. -), (5,7) ,(10,5) , (3.5) , (-2, 5) , (4.-)…

A:

Q: Plot the point (3,4) and (3,-10)

A: 1 Box=1unit on horizontal X-axis 1 Box=1unit on horizontal Y-axis

Q: The distance between A(7,5) and B(-3,-1) is

A: The distance between two is computed as follows, Note: The distance between two points x1,y1  and…

Q: Determine the quadratic equation that best fits the given set of data: (1, 2), (2, 3), (4, 3), (6,…

A:

Q: Determine if (3, -1, 4) is a linear combination of (1, -1, 0), (0, 1, 1) and (3, -5, -2)

A: A linear combination is very significant in linear algebra. When some given vectors are multiplied…

Q: find x in the parallelogram

A: A parallelogram is a quadrilateral with opposites pair of sides being parallel to each other. This…

Q: Write [0, 5, 1, -7, 0] as a linear combination of [0, 1, 2, 0, 0]; [0, 1, 0, 0, 0]; [0, 1, 0, 0, 1];…

A: We want to write [0, 5, 1, -7, 0] as a linear combination of given vectors.