Dot Product
magnitude of a = 4 and magnitude of b = 3 and the angle between the vectors is 60 degrees. What is the magnitude of a dot b
6
A force of 20 N is applied at the end of a wrench that is 40 cm long at an angle of 60 Degrees. Find Magnitude of Torque
6.93
Determine the value of x and y.
3(x,1) -5(2,3y) = (11,33)
x=7 y=-2
Find the derivative of f(x) = 4x2 + 7x
8x+7
The angle between (-1,4,0) and (0,2,-7) to the nearest degree
75 degrees
Magnitude of a = 5, magnitude of b = 7, and the angle between them is 110 degrees. Find a x b
32.89 units
Find the components of the unit vector in the direction opposite to PQ, where OP = (11,19) and OQ (2,-21)
unit vector = (9/41, 40/41)
what's the capital of Guatemala
Guatemala City
Vector P (1,2,k) makes an angle of 60 degrees with the positive z- axis. Find Value(s) of k
k = +Square root of 5/3
Find u x v if u = (-1,7,4) and v = (2,-1,-5)
u x v = (-31,3,-13)
find the area of a triangle with vertices P (7,2,-5) Q (9,-1,-6) and R (7,3,-3) estimate to the nearest tenth
3.4 units2
Derive 2e10t
20e10t
find VALUES of K such that vectors (k,1,2) and (-k,13k,-11) are perpendicular to each other.
k =2 or k = 11
Given 2x + y -2z = 0, x= (-1,b,c) y = (a,-2,c) and z = (-a,6,c) determine the value of the unknowns
a=2/3
b= 7
c=0
Find the volume of parallelepiped built from three vectors (-4,2,7) (1,-5,3) and (1,2,4)
151 units3
I have no life, but I can die. What am I?
A battery
Force = 6i -4j +5k does 345 J work along the Z-axis. Find the displacement Vector
Find K such that a = (2,-9,1) b = (-1,4,2) and v = (k,5,-1) are coplanar.
k = -12/11
Find the area of the Triangle with Vertices D(4,-1,3) E(1,-5,2) F (1,1,6)
24.2 units2
How do eight eights add up to one thousand
888 + 88 + 8 + 8 + 8 = 1000