# Equation + vector - math problems

#### Number of problems found: 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)
• 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
• Angled cyclist turn
The cyclist passes through a curve with a radius of 20 m at 25 km/h. How much angle does it have to bend from the vertical inward to the turn?
• Parametric form
Calculate the distance of point A [2,1] from the line p: X = -1 + 3 t Y = 5-4 t Line p has a parametric form of the line equation. ..
• Find the
Find the image A´ of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are real number)
• Find the 5
Find the equation of the circle with center at (1,20), which touches the line 8x+5y-19=0
• Three points 2
The three points A(3, 8), B(6, 2) and C(10, 2). The point D is such that the line DA is perpendicular to AB, and DC is parallel to AB. Calculate the coordinates of D.
• Parametric equations
Write the parametric equations of height hc in triangle ABC: A = [5; 6], B = [- 2; 4], C = [6; -1]
• 3d vector component
The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?
• Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependent.

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