(8) IF: A=i+j+ k, B = i +2j - 3k Find A-B, A.B, 2A.3B, A.B, (A+B). (A-B)

Q: 2 and B= 1 0. then Show that if A = 6. -1 2 (A + B)(A + B) # A² + 2AB + B?

A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

Q: 3(2x + 3y) 4x(6 - 5y) 10(3x - 4y) 12xy(4xy + 6x) 3x y(4x + 3y) 2x?y (3x?y - 4xy) : 6x + 3y : 30x -…

A: (1)  ⇒3(2x+3y)=3(2x)+3(3y)⇒3(2x+3y)=6x+9y

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: (-2y%3D 6. (2). (-8, )

A:

Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

A:

Q: rỉ + 10x1x2 + x = as² + ßt²

A:

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: evaluate det(A) by a cofactor expression along a row or column of your choice

A:

Q: 2 31 Find 24³ – 4A + 5 I. 2. Let A = -31

A: Given: The matrix is A=124-3. To Find: 2A3-4A+5I.

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: a (x + 4y) = ax + 4ay Select one: O True O False

A: Given here a function and asked to find whether it is true or false

Q: Find +62+7) dr 1(2²³/20 +C

A: Integration  ∫3x2+6x+7dx

Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: A pair of digits (a, b) is such that 4a5b32 is a multiple of 66, find a+b.

A: Please see the below picture for detailed solution.

Q: If w= = 3/4x

A:

Q: For RA 3 and gx)x. find each of the following d. •ax-1)-(mplity your anawer) -ko)-Simplity your…

A: For function h(x)=ax2+bx+c    where a,b,c are constants. To evaluate h(k), replace x=k in function…

Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: -2 1 21 = a 3 +b -3 -22

A:

Q: t2-3t - 40 2 t + 8t + 15 t +3

A: First factories the given expression than add algebraically.

Q: e) (4a-7xy-7y)-(-3a+7xy-9y') 2. a) From p- 3p +4 subtract -2p- 1. b) Subtract the sum of x + 3 and…

A: To simplify the given expressions

Q: If A = 3j + 2k, B = 2i – 2j – 2k then Ax B

A: Use cross product of vector

Q: а) (Зу?)(4y5) (xy²z*)* b) (x²y²z}3 5

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please…

Q: (5x+4) O 19. Find MP M 20. Find PJ. 3x + 14 09x-34 K

A: Answer no 19