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

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Question 1122233:
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Question 1123178: A sporting car starting from rest accelerates 40 km/hr^2 for 30 min after which it traveled with a constant velocity of 1 hr. When the brakes where applied, it slow down at 2km/hr^2 until it stops. Find the total distance covered.
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Question 1123938: Why should be direction same in dot product
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Question 1123938: Why should be direction same in dot product
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Question 1124874: what is the resultant of two equal forces each of magnitude f acting at right angle to each other.
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Question 1125600: The area of a rectangle is 45, and its perimeter is 28. Find its dimensions and diagonal.
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Question 1125600: The area of a rectangle is 45, and its perimeter is 28. Find its dimensions and diagonal.
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Question 1125972: This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?

Click here to see answer by josgarithmetic(39617)

Question 1127369: Blocky has a mass of 22 kg, and is sitting on a horizontal, frictionless arena. A force of 50.25 N is applied horizontally to blocky, and lasts until Blocky has moved a distance of 50m from his starting position. Blocky than continues to slide for 3 seconds with no force applied to him. Finally, a force of 32.5 N is applied in the opposite direction. How long will it take for Blocky to return to the starting position?
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Question 1127421: A man travel 7.0km,due North the 10.0km east. find the resultant displacement
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Question 1127371: A 45 kg box is sliding along at 45 m/s on a hill with an upward slope of 15 degrees.
a. How long will it take for the box to come to rest?
b. How far up the hill with the box slide?
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Question 1127980: Points P,Q have coordinates (-2,-1) and (3,11) respectively. Find |OP|,|OQ| and |OP + OQ| where O is the origin.
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Question 1129658: (1) A swimmer is capable of swimming at 1.4m/s in still water. (a) how far downstream will be land if he swims directly across a 180m wide river? (b) how long will it take him to reach the other side?
(2) A man can row at 6km/hr in still water and wants to cross a river to a position exactly opposite his starting point. If the river is 5km wide and is flowing at 4km/hr eastwards, find the direction in which he must set off in order to accomplish his objective. How long will it take to cross the river?
Click here to see answer by josgarithmetic(39617)

Question 1129567: The air speed of a light plane is 200km/hr and its heading is 90 degrees. A 40km/hr wind is blowing with a velocity vector having bearing 160 degrees. Find the ground speed and true course of the plane to the nearest thousandth.
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Question 1130911: Find points on the line with parametric equations x=2-t,y=3+2t and z=1+t which are 5√3 units from the point(1,0,-2)
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Question 1131075: Given v=i-j and w=i-j
Find the dot product v*w
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Question 1131028: The line L1 passes through (-6,3) and is parallel to (4,-3).The line L2 has direction 5i+4j and cuts the y axis at (0,8). Find the acute angles between the lines.
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Question 1132087: Resultant of two equal forces acting at right angle to each other is 14.14N find
the magnitude of each forces

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Question 1132123: verify that y=8, x-9 satisfies the equation y"+ 8y = 9x
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Question 1132125: a=2i+3j-k,
b=i-j+2k and
c=3i+4j+k.
find a+2b-c
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Question 1132568: Kent State University Online Giving | Home Page | Kent State University

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Question 1132778: Find the vector projection of u onto v. Then write u as the sum of two orthogonal vectors, one of which is proj (Subscript v)u.
u=<2,8>, v= <4, -5>
proj (Subscript v)u= <-128/41, 160/41>

Click here to see answer by MathLover1(20849)

Question 1133250: The scalar k is equal to 4. Given vectors 𝑣1 = 〈−3, 5〉 and 𝑣2 = 〈2, −1〉.
Evaluate 𝑘𝑣1 + 𝑣2
Click here to see answer by Edwin McCravy(20054)

Question 1133245: Let two points be A(2, 5) and B(-3, 6). Express the vector determined by line
segment AB in component form and as a linear combination of the vectors i and j.
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Question 1133257: Find the unit vector in direction of (7, -24).
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Question 1133318: z1= 7(cos220°+ i sin220°)
z2= 2(cos160°+i sin160°)
Find the quotient z1/z2 for the complex numbers
Thank you!

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Question 1133318: z1= 7(cos220°+ i sin220°)
z2= 2(cos160°+i sin160°)
Find the quotient z1/z2 for the complex numbers
Thank you!

Click here to see answer by MathLover1(20849)

Question 1133319: Express the complex number in polar form: -5 + 5i

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Question 1133321: Find the parametrized form of the line through (5, -2) and (8, 2).
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Question 1133382:
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Question 1134088: line L1 and L2 has equation (x-3)/2 = (y-4)/-1 = (z+1)/1 and (x-5)/4 = (y-1)/3 = (z-1)/2. find Cartesian equation of the plane P which contain L1 and parallel to L2. L3 pass through point A(-3,-2,-1) and meets P at B(-1,2,1). find Cartesian equation of L3 and acute angle between P and L3 (in nearest degree). Another line L4 with Cartesian equation (x-2)/1 = (y+3)/2 = (z+2)/1 pass through plane P. find intersection point.
Click here to see answer by Edwin McCravy(20054)

Question 1134446:
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Question 1135614: A vector drawn on the Cartesian graph has a vertical component of - 28 units and a horizontal component of 16 units. What is the principle angle of the vector?
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Question 1135615: A tracked loader is accelerating at 24 m/s2, N 290 34’ 22” W. find the acceleration of the loader in the north direction.
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Question 1135610: Three non-perpendicular vectors have magnitudes of 166, 77, 218 Newtons and respectively have angle of 7, 17 and 33 degrees with respect to the x-axis. Find the angle of their resultant.
Round to 2 decimal places.

Click here to see answer by Edwin McCravy(20054)

Question 1135608: Two perpendicular vectors have magnitudes of 136.01 and 136.89 Newtons. Find the angle of their resultant that makes with the second vector.

Round to 2 decimal places.
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Question 1135607: Two perpendicular vectors have magnitudes of 71.8 and 294.02 Newtons. Find the magnitude of their resultant.

Round to 2 decimal places.

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Question 1135601: The vector V has a magnitude of 148.18 units and makes an angle of 45.29 degrees with the x-axis. Find the x component.
Round to 2 decimal places.
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Question 1136323: Find the magnitude of the vector 〈1, −4, 2〉. What is the unit vector?
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Question 1136323: Find the magnitude of the vector 〈1, −4, 2〉. What is the unit vector?
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Question 1136324: Given the vectors: 𝑟 = 〈9, −7, 7〉, 𝑣 = 〈3, −6, 9〉, 𝑤 = 〈−3, −6, 6〉. Find (𝑟 + 𝑣) ∙ 𝑤
Click here to see answer by Edwin McCravy(20054)

Question 1136650: Spherical Water tank
A water tank is in shape of a sphere with a radius of 5 feet. The tank is supported on a metal circle 4 feet below the center of the sphere.
Find the radius of the metal circle
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Question 1137278: You have 5 cups of a drink that contains 57% caffeine, How many cups of a drink Containing 37% Caffeine easily added In order To have a final drink a 42% Caffeine?
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Question 1138629: show that for two vectors u and v
u * v . u = 0
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Question 1139178: what is the slope of the line joining (3,8) and (12,11)
?
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