Vector - math word problems

Number of examples found: 50

The modulus
Find the modulus of the complex number 2 + 5i
Line
Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p?
Points collinear
Show that the point A(-1,3), B(3,2), C(11,0) are col-linear.
Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
Vector
Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2).
Vector sum
The magnitude of the vector u is 12 and the magnitude of the vector v is 8. Angle between vectors is 61°. What is the magnitude of the vector u + v?
Scalar product
Calculate the scalar product of two vectors: (2.5) (-1, -4)
Decide 2
Decide whether points A[-2, -5], B[4, 3] and C[16, -1] lie on the same line
Coordinates of vector
Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
Vectors
Vector a has coordinates (8; 10) and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c?
Vectors
For vector w is true: w = 2u-5v. Determine coordinates of vector w if u=(3, -1), v=(12, -10)
Coordinates of square vertices
The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square.
Linear independence
Determine if vectors u=(-4; -5) and v=(20; 25) are linear Linear dependent.
Vector
Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5].
Medians and sides
Triangle ABC in the plane Oxy; are the coordinates of the points: A = 2.7 B = -4.3 C-6-1 Try calculate lengths of all medians and all sides.
Unit vector 2D
Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
Vector perpendicular
Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1)
Bearing
A plane flew 50 km on a bearing 63°20' and the flew on a bearing 153°20' for 140km. Find the distance between the starting point and the ending point.
Vector equation
Let’s v = (1, 2, 1), u = (0, -1, 3) and w = (1, 0, 7) . Solve the vector equation c1 v + c2 u + c3 w = 0 for variables c1 c2, c3 and decide weather v, u and w are linear dependent or independent