# Questions on Algebra: Introduction to vectors, addition and scaling answered by real tutors!

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 Question 582498: Let the plane V be defined by ax + by + cz + d = 0. Which is true? A) the vector ⟨a,b,c⟩ is perpendicular to V B) the distance between V and the origin is Click here to see answer by Edwin McCravy(9717)

 Question 360578: Find the magnitude of the following vector v= 5i - 2j Click here to see answer by opeodu(24)

 Question 609010: find the vertexy intercept and x intercept h(x)=x^2-6x+9 Click here to see answer by lynnlo(4174)
 Question 609010: find the vertexy intercept and x intercept h(x)=x^2-6x+9 Click here to see answer by ewatrrr(11176)

 Question 616179: Please help me solve this question: An airplane flying at an altitude of 3600 feet is dropping aid supplies. The path of the plane is parallel to the ground at the time of the supplies are released and the plane is traveling at a speed of 330 mph. Note: 5280 feet is 1 mile. a) Write parametric equations that represent the path of the supplies b) How long will it take for the supplies to reach the ground? c) How far will the supplies travel horizontally before landing? Click here to see answer by josmiceli(10616)

 Question 617539: Complete the square to find the verges of each parabola. Y=2x^2+4x+1 Click here to see answer by lynnlo(4174)

 Question 617538: Complete the square to find the verges of each parabola. Y=-x^2+6x Click here to see answer by lynnlo(4174)

 Question 618386: Use completing the square to rewrite this equation in vertex form. x^2 +10x=8 Click here to see answer by ewatrrr(11176)

 Question 619257: Use vectors to determine if the points P(-2,7,4), Q(-4,8,1) and R(0,6,7) are collinear. Click here to see answer by Alan3354(34677)

 Question 633434: 1.Let v be a vector from initial point Click here to see answer by richwmiller(10279)

 Question 633726: The magnitude and directions of u and v are given. Find vector w's polar coordinates. u: magnitde 23, bearing 215° v: magnitude 14.5, bearing 105° w: u + v A:(22.7, 77°) B:(77, 22.7°) C:(22.6, 177.9°) D:(177.9, 22.6°) Click here to see answer by stanbon(60771)

 Question 633728: Can you help me with this one? Solve the ordered triple of point H. A is (5,0,0) E is (0,0,4) G (0,3,0) Q is (0,3,4) R is (5,3,0) and p is (5,0,4) Click here to see answer by Edwin McCravy(9717)

 Question 638511: find the position vector for PQ if P=(-2,3) and Q=(14,-2) Click here to see answer by stanbon(60771)

 Question 644036: find vector xy that goes from x(8,2,-9) and y (-12,-1,10) Click here to see answer by tag22man(4)

 Question 665255: Can someone please help me with this i really don't know how to do vectors, i have tried part a but i dont know if its right. Consider the two vectors a = î + ĵ and b = 2î – ĵ . (a) Calculate a + b and a – b . a + b = 2 î^2 + ĵ^2 a – b = 2 (b) On a Cartesian plane, illustrate the vector addition a + b and the vector subtraction a – b. Clearly label your diagrams with all its appropriate vectors. (c) Calculate the magnitude of a and the magnitude of b. (d) Find the scalar product a•b. (e) Find the orthogonal projection of vector a onto vector b. That is, find the vector projb a . Click here to see answer by lynnlo(4174)
 Question 665255: Can someone please help me with this i really don't know how to do vectors, i have tried part a but i dont know if its right. Consider the two vectors a = î + ĵ and b = 2î – ĵ . (a) Calculate a + b and a – b . a + b = 2 î^2 + ĵ^2 a – b = 2 (b) On a Cartesian plane, illustrate the vector addition a + b and the vector subtraction a – b. Clearly label your diagrams with all its appropriate vectors. (c) Calculate the magnitude of a and the magnitude of b. (d) Find the scalar product a•b. (e) Find the orthogonal projection of vector a onto vector b. That is, find the vector projb a . Click here to see answer by Alan3354(34677)

 Question 674684: find the area of a triangle whose vertices are A(1, 1, 0) B(2, 1, 1) and C(1, 1, 2) Click here to see answer by Edwin McCravy(9717)

 Question 698444: how would find the 17th term of the arithmetic sequence. if a16= 18, and d= 1/2 Click here to see answer by jim_thompson5910(29613)

 Question 717890: There is this homework problem I have for Pre-Algebra. It is on scale factors. This is the problem: What scale factor was used to build a 55 ft wide billboard from a 25 in. wide model? I tried to write a proportion (model to actual), and I ended up getting 5 in. to 11 ft. I remember my teacher saying that when doing a scale factor, and it is inches to feet, then it has to be a certain number of inches to 1 ft. He said the exception is that if the scale factor ends up like 1/6 in. to 1 ft because there is no 1/6 inch mark on a ruler. Now, I am confused as to how this problem should be done, and I would be very grateful if someone were to clearly explain how to do this problem. By the way, I am sorry if the category for this question is incorrect. Click here to see answer by stanbon(60771)

 Question 720211: I am trying to test out of Algebra 2B next trimester, and I have to review and learn new curriculum in about 8 days. Would you be able to help me with this? Click here to see answer by josgarithmetic(3315)

 Question 723368: Find the magnitude and direction of v = 5i + 4j Click here to see answer by stanbon(60771)

 Question 727448: i need help solving this problem :/ solve by using the addition method: 5x + 3y - z = 5 3x - 2y + 4z = 13 4x + 3Y + 5z = 22 Click here to see answer by ankor@dixie-net.com(16524)

 Question 735088: Am I allowed to simple ask for assistance into understanding the concept of vectors in Mathematics? Does this site work like that? I kind of missed the whole stage of learning about vectors and I'm unable to do numerous questions due to lack of knowledge and understanding. What are vectors and what is a vector space? How would one, in a simple generalised form of instruction, go about trying to prove whether something is or isnt a vector space? So lost. Click here to see answer by rothauserc(643)

 Question 736435: If the domain is {0, 2, -6}, what is the range of y = -2x + 3? Click here to see answer by MathLover1(7480)

 Question 737212: It is a question to one registration help me please. What is the sum of 4 and 5th Please spell out the answer ~ Ex: five Click here to see answer by stanbon(60771)

 Question 740326: show that the two vectors a = 9i + j - 4k, b = 3i - 7j + 5k are mutually perpendicular Click here to see answer by tommyt3rd(3721)

 Question 723360: Find a unit vector in the same direction as <-12,-5> Click here to see answer by tommyt3rd(3721)