Given the points A = (1, 2, – 1), B = (-3, 1, 2) and C = (0, -4, 3) (i) find AB, BC, AC (ii) Show that AB+ BC = AC 1.

Q: Find a + b, 2a + 3b, |a], and la – bl. - a = 5i - 4j + 3k, b = 2j - k a + b = 2a + 3b = |a| = |a -…

A:

Q: Consider the points A(2, a,0), B(0,1,B),C(1,1,B) where aand Bare negative real numbers. Find a and…

A: To add or subtract, two or more vectors add or subtract the corresponding components of each vector.

Q: ZA and ZB are supplementary. If mZA = (8x+100)° and m B=(2x+50)°, find m/A and m/B.

A:

Q: If 21 = (2, -1), z₂ = (6, 3), find 2₁ 22 - 22.

A:

Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that  Following vectors  To find the dot product

Q: rỉ + 10x1x2 + x = as² + ßt²

A:

Q: Question 1.) Q R. 2x-16 15у-10 3x+9 Бу+90 T. Find the Value of x and y.

A: Given: To Find: x=?, y=?

Q: 16. Use one of the Green's Theorem area formulas, compute the area of the region enclosed by the…

A:

Q: : For two attributes A and B, we have (AB) -8; (4) = 18, (aB) = 5 and N = 35. Calculate the…

A:

Q: b) I = (x-8)² +2=y+3

A: Given that:To find: The value of x.Formula used:

Q: Find a + b, 2a + 3b, lal, and la - bl. a = i +3j - 4k, b = -3i -j + 6k a+b= 2a + 3b = |a| = |a - b|…

A: Given vectors  a = i + 3j - 4kb = -3i - j + 6k

Q: B|a- Find u.v and v xu if u=i+2j-k and v=-2i+2j+2k

A: We have to solve given problem:

Q: If v = 7i + 3j and w = 4i - 5j, find 6v - 3w.

A: Given v=7i+3j and w=4i-5j We have to find 6v-3w. 6v-3w=67i+3j-34i-5j=42i+18j-12i+15j=30i+33j

Q: Given x = (-1, -2,-2), u = (0,1,4), v = (-1,1,2), and w = (3,1,2) in R', find a, b, and c such that…

A:

Q: Let à = 27 - 5j + 4k and b = − − 5j + 4k. Find -a + b. -ā +b =

A:

Q: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

A:

Q: Ã = 2ē, +3ē, – ē,, B = -3ẽ, +2ē, +ēz, C = ē, + ē,+ē; ve Ď = ē, – 2ē, – ē; Āx B × Č = B(Ā.C) – Č(Ā.B)…

A: We use scalar and vector product for this proof

Q: Sketch v = (−2, 1), w = (2, 2), v + 2w, v − 2w.

A: Given vector, v = (−2, 1), w = (2, 2)

Q: Determine Proy,b si ā = 3i– 4j+2k y b = -2i+3j-k

A:

Q: Find a + b, 2a + 3b, |a], and la – bl. a = 5i - 6j + 5k, b = 2j - k a + b = 2a + 3b = |a| = |a - b =

A: NOTE: Refresh your page if you can't see any equations. . here we have .

Q: Find å + B, 2å + 35, |äl, and |ä – | for å = i + 2j – 3k and b = -2ï – j + 5k.

A: solution:-a→=i→+2j→-3k→b→=-2i→-j→+5k→(1)a→+b→=i→+2j→-3k→+-2i→-j→+5k→         =1-2i→+2-1j→+-3+5k→…

Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

A:

Q: If a = (2, -1, 3) and b = (2, 2, 1), find the following. a x b = b x a =

A:

Q: If a 10î + 10f + 5k, b = 5i – 2j – 14k, è = 4î + 7j – 4k , find the value of å x (b x 2).

A: The cross product of two vectors a=a1i+a2j+a3k ,b=b1i+b2j+b3k can be calculated using determinant…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.