Find a dot product to show that a = (3,4) and b= (-6,-8) are 11. in opposite directions or in same direction.

Q: If ā= 3x - 5y and b = -2x+9ỹ, write the vector 5ã-85 in terms of x and y

A: Given vector are a→=3x→-5y→   and b→=-2x→+9y→. We have to find the vector 5a→-8b→. Now, 5a→=53x→-5y→…

Q: . Calculate the area of the triangle formed by the line 3x-7y+4 =0 , and the (ans.: 8/21) axes.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Describe the product of two glide reflections whose axes are parallel.

A: The magnitude of the cross product of two parallel vectors was asked in this question. A glide…

Q: Find the area of the parallelogram with the vertices A(-5,–4), В(2, —4), С(4,4) and D(-3,4).

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Q: Find the angle between the line represented by 2x2+xy-6y2+7y-2=0

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Q: Convert to a rectangular coordinate. 5T – 4, 10. -

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the acute angle between the lines: 9x - y = 3  6x+y = 9

A: the given two lines are  9x - y = 3  .......1 6x+y = 9   .............2

Q: Find the midpoint of AB if A(-3, 8) and B(-7, -6)

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Q: Plot grph when ∞ = {.25 %3D =ト えキxCa-) givin X0.1 0.2 0.3

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Q: Find the distance between the points A = (2, 0, (2, 0, 1) and B = (4, 5,-2)-

A: Given that two points   A =2, 0, -1     and   B = 4, 5, -2      If two points were given, then…

Q: State the properties of Dot Product.

A: If a→, b→ and c→ are any two vectors. 1. Dot product is commutative i.e a.→b→=b→.a→ 2. If a.→b→=0,…

Q: Find the distance between the points.(−2, 6), (3, −6)

A: The distance between the two points (x1,y1) and (x2,y2) is given by D=(x2-x1)2+(y2-y1)2. Substitute…

Q: Find the distance between the points (2,-4) and (-5,3).

A: We need to find the distance between (2, -4) and (-5, 3).

Q: Let ā = (- 2, – 3) and b = (- 6, – 4). Compute the dot product.

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Q: Find the coordinates of the intersection of the diagonal of [] DEFG

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Q: Find the distance d between the points (-4,5) and (3,2).

A: To find the distance between two points -4,5 and 3,2. Solution: We know that distance between two…

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 the angle between the line represented by 2x2+xy-6y2+7y-2=0

A: Find the angle between pair of straight line

Q: Find the distance between the points (3, 2) and (4, 3)

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Q: Find the distance between the points. (−1, 1, 1), (−3, 5, −3)

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Q: Plot A(-2, 4), B(3, 4), C(0, 2), and D(0, –2) in a coordinate plane. Then determine whether AB and…

A: The plot for the given points is shown below Consider the distance formula is, d=x2-x12+y2-y12 The…

Q: compute the dot product. (3, −2, 2) · (1, 0, 1)

A: The dot product of three dimensional vectors can be calculated by using the component formula for…

Q: What are the various applications of the dot product?

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Q: Find the distance between the points (1, −7) and (4, 2).

A: To find the distance between the given points

Q: Find the distance between the points.(1, 3), (3, −2)

A: The distance between two points (a,b) and (c,d) is given by:- D=(c-a)2+(d-b)2

Q: Where will the line be after a rotation 180° counter-clockwise about (0,0) ? ? Click on the grid to…

A: It's rotational question so I I'm providing hand written solution for better understanding.

Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: Angle of the line along x-axis

Q: Find the area of the parallelogram. (Hint: Аrea (-5, 9) у-ахis base height.) (4, 5) X-axis (-5,-3)…

A: let the vertices of parallelogram are A(-5,9), B4,5, C4,-7 and D-5,-3 find the area of parallelogram…

Q: Find the distance from the point (1,3) and the line 3x+4y+53D0

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Q: Find the acute angle between the lines 3x+y=5 and 2x-y=4

A: We have to found acute angle between two lines ,where lines are given by:

Q: Use cross products to find the area of the triangle in the xy-planedefined by (1, 2), (3, 4), and…

A: Triangle T spanned by two non zero vectors u,v.  Then the area of the triangle is given     by :…

Q: -20 -10 -20- 10- --10- -20- -30- (0, -16) 10 20

A: The distance between the points x1,y1 and x2,y2 is given by the distance formula: (x2-x1)2+(y2-y1)2…

Q: Find the dot product of ū = (3,-2) and v = (5,-7). Select one: -1 V29 29 (8,-9)

A: Consider the vectors u→=3,−2v→=5,−7

Q: Find the value of b in parallelogram VWXY.

A: Find the value of b.

Q: Find the area of the parallelogram with vertices at (5, -2), (11, 3), (14, –8), and (20, -3).

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Q: Calculate (3+j6)19 in rectangular format. Please show all your steps.

A: By using De moivres theorem the answer is given as follows :

Q: Find the area of a triangle with the coordinates of the midpoints of the three sides in a row (2,1),…

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Q: Find the dot product of u = u=(-4,-9) and v=(3,-2)

A: Given: u=(-4,-9)v=(3,-2)

Q: Calculate the dot product of x = (3, -2, 0, 3) E R and y = (1, 2, 3, 4) ER4.

A: The dot product of two vectors x=(a1,a2,a3,a4)  and  y=(b1,b2,b3,b4)in 4th-dimensional space is: x.y…

Q: Find the area of the parallelogram with adjacent sides u = (4, 3, 0) and v = (0, 3, 1).

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Q: Find the area of the parallelogram with the points A(2, 5, 6), B(4, 8, 10), C(11, 7, 9) and D(9, 4,…

A: Formula: The area of parallelogram = Length of cross product of adjacent sides. Given: Vertices of…

Q: Determine whether the points are collinear. (4, 12), (-4, -20), (-2, –16) O collinear O not…

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Q: What is the symmetric property

A: The below explanation is the answer.

Q: find the midpoint of AB if A(-3,8) and B(-7,-6).

A: GivenA(-3,8) and B(-7,-6).

Q: Determine whether the points are collinear.(1, 2), (3, 4), (5, 6)

A: Given the points ( 1, 2 ), ( 3, 4 ), ( 5, 6 ). For the points to be collinear, area of the triangle…

Q: Find the distance between the points (3, 0) and (-1, -2).

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Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…