Prove that the following triple product: a • (b x c) equals zero (if each of the three vectos lie within a plane

Q: The vectors a and b are such so that a = √10, b = 10 Find the value of lax bl. and a b = 30

A:

Q: (1) Find and classify the extremes value of f(x) = 6x* – 4x° over the interval [-2, 2). (2) A…

A: According to Bartleby Q/A guidelines, we only allow solving the first question if multiple questions…

Q: ABCD is a quadrilateral such that AB =b.AD = d, AC =mb+pd. Show that the area of the quadrilateral…

A:

Q: Find the distance between the two points * A) 2V5 C) 2V2 B) 2v10 D) 4V2

A:

Q: Let a,= 4 az = - 21 and b = - 12 For what value(s) of h is b in the plane spanned by a, and a,? 1 2…

A:

Q: Given: D is the midpoint of AC АС — ВС A CD 2х + 5 ВС — х + 28 Find: АС

A: Given: D is the midpoint of AC. AC=BC CD=2x+5 BC=x+28

Q: Find the cross product a x b. a4j-9k, -9i+5j + 12k b-i + 3j+k Verify that it is orthogonal to both a…

A: The given vectors  and .The objective is to find the cross product  and verify that is orthogonal…

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

A:

Q: 5.PT. PLN has $140000 to invest. The alternative investments and the corresponding annual returns…

A: According tot he given information it is required to form an linear programming problem for the…

Q: Trisect a given quadrilateral by means of two straight lines drawn from (i) one of its vertices;…

A:

Q: you to If ZA ZD and ZC ZF, which additional statement does NOT allow conclude that AABC = ADEF?

A:

Q: :Find the four angles of a cyclic quadrilateral ABCD in which <A =(2x-1)°, <B = (y+5)°<C=(2y+15)°…

A:

Q: R 8y + 3 4х + 3, 9х — 7 U 5у + 12

A: Geometry Question

Q: Answer this question by considering A(X1,Y1), C(X2,Y2) and B=u+v=(X1+X2,Y1+Y2), and justify your…

A: Step 1: Express the vectors in terms of u and vStep 2: Step 3: Step 4: Since both pairs of opposite…

Q: D Use the regular hexagon provided to write each of the expressions as a single vector. a) AE + DB…

A: Given a regular Hexagon .To obtain each of the expressions  as a single vector.If three sides of a…

Q: What is the real number a that makes the line 2 -1 y-12 z-7 a -2 3 parallel to the plane z -y - 2z=…

A:

Q: Given the following figure, identify the shape along with its properties. F(-1, 3) G(3, 0 E(-4, –1)…

A: To solve the following problem

Q: A and C are points on the x-axis and the y-axis respectively. OABC is a square. Its diagonals OB and…

A:

Q: 1. Find the three cube roots of z = -j and sketch the result in a single Argand plane. (express…

A:

Q: Let à = 6i+2j-5 k and b=mi +3j - 5k, If a x b = 5 i 10 j + 2 k, Find m: Find the area of the…

A:

Q: Please help.

A: Given, P(x) and D(x)

Q: 3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners…

A: a)Co-ordinates of GG0+7.52,0+02,0+02=G154,0,0Co-ordinates of P∵P lies on the  xy planeso…

Q: 2. Let P be a point not on the plane that passes through the points Q, R, and S. a. Show that the…

A:

Q: Assume that a = b + d. a. Show that the trapezoid is isosceles. b. Prove that its diagonals are…

A: Given  Here assume that a = b + d.

Q: A triangle is graphed on the coordinate plane. Two of its vertices are located at (-10,3) ar…

A:

Q: Let a₁ = 1 4 -1 a₂= The value(s) of h is(are) - 24 3 and b = 4 0 h For what value(s) of h is b in…

A: Given that: a1=14−1, a2=−7−243, b=40h To find the value of h if b is the vector in the plane spanned…