# Cuboids

Two separate cuboids with different orientation in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633)

**Result****Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):**

**Showing 1 comment:**

**Matikar**

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

#### Following knowledge from mathematics are needed to solve this word math problem:

## Next similar math problems:

- Find the 10

Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular, parallel, what angle does each of the lines make with the x-axis, find the angle between the lines? - Median and modus

Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell. - Vector - basic operations

There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18] 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. - Vector

Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5]. - Coordinates of vector

Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5) - Unit vector 2D

Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10]. - Angle between vectors

Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20) - 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 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° - Theorem prove

We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started? - Scalar product

Calculate the scalar product of two vectors: (2.5) (-1, -4) - Add vector

Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ. - Points collinear

Show that the point A(-1,3), B(3,2), C(11,0) are col-linear. - Line

Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p? - Sequence

Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702. - Quadratic equation

Find the roots of the quadratic equation: 3x^{2}-4x + (-4) = 0. - Calculation

How much is sum of square root of six and the square root of 225?