Two separate cuboids with different orientation in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62149553, 0.11709336, 0.77461762) u2=(0.046501848, 0.66652649, 0.74402958)


a =  46.899 °


a =

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 1 comment:
use scalar products to determine angle between two 3D vectors (if direction cosines gives -> its unit vectors)


Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation. For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.

Next similar examples:

  1. Greatest angle
    triangles_4 Calculate the greatest triangle angle with sides 464, 447, 274.
  2. Geometric progression 2
    exp_x There is geometric sequence with a1=-5.8 and quotient q=-2.2. Calculate a19.
  3. Trinity
    trojka How many different triads can be selected from the group 29 students?
  4. Vector - basic operations
    vectors_1 There are given points A [13; 11] B [23; -4] C [9; -1] and D [-11; 25] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate difference of vectors u-v d. Determine the coordinates of the vector w
  5. Linear independence
    colinear_vectors Determine if vectors u=(3; -3) and v=(0; 3) are linear Linear dependent.
  6. Vector
    vectors Determine coordinates of the vector u=CD if C[13;-8], D[-19,-13].
  7. Vectors
    green For vector w is true: w = 2u+2v. Determine coordinates of vector w if u=(-8, -5), v=(18, 19)
  8. Equation
    calculator_2 Equation ? has one root x1 = 10. Determine the coefficient b and the second root x2.
  9. Discriminant
    Quadratic_equation_discriminant Determine the discriminant of the equation: ?
  10. Angle between vectors
    arccos Find the angle between the given vectors to the nearest tenth of a degree. u = (24, -1) and v = (12, 16)
  11. Scalar dot product
    dot_product Calculate u.v if |u| = 5, |v| = 2 and when angle between the vectors u, v is: a) 60° b) 45° c) 120°
  12. Vector sum
    vectors The magnitude of the vector u is 8 and the magnitude of the vector v is 11. Angle between vectors is 65°. What is the magnitude of the vector u + v?
  13. Line
    img2 Line p passing through A[-10, 1] and has direction vector v=(2, 4). Is point B[-20, -19] on the line p?
  14. Seats
    divadlo_2 Seats in the sport hall are organized so that each subsequent row has five more seats. First has 10 seats. How many seats are: a) in the eighth row b) in the eighteenth row
  15. Add vector
    vectors_2 Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
  16. Theorem prove
    thales_1 We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  17. Calculation
    pocty How much is sum of square root of six and the square root of 441?