WebMar 24, 2024 · Two vectors u and v whose dot product is u·v=0 (i.e., the vectors are perpendicular) are said to be orthogonal. In three-space, three vectors can be mutually perpendicular. A subset {v_1,...,v_k} of a vector space V, with the inner product <,>, is called … An orthogonal basis of vectors is a set of vectors {x_j} that satisfy … See also Orthonormal Basis, Orthonormal Functions, Orthogonal Vectors Explore … Two lines, vectors, planes, etc., are said to be perpendicular if they meet at a right … The dot product can be defined for two vectors X and Y by X·Y= X Y costheta, (1) … You may use this form to leave suggestions, comments, and … About Eric Weisstein's World of Mathematics. MathWorld is the web's … Explore thousands of free applications across science, mathematics, …
Orthogonal Vectors -- from Wolfram MathWorld
WebApr 14, 2024 · So, it can be discussed in two parts: horizontal motion and vertical motion. These two motions take place independent of each other. This is called the principle of physical independence of motions. The velocity of the projectile can be resolved into two mutually perpendicular components: the horizontal component and the vertical component. WebCalculation: Let the x-component of the applied force F x P = 4 N. The y-component of the applied force F y Q = 3 N. The vectors are perpendicular to each other. The resultant of these vector are –. P + Q = P 2 + Q 2 = 4 2 + 3 2 = 5 N. Hence the correct option is 5 N. Download Solution PDF. clear view business solutions
[Solved] P and Q are two mutually perpendicular vectors
WebIt is given that l 1, m 1, n 1 and l 2, m 2, n 2 are the direction cosines of two mutually perpendicular lines. Therefore, Let l, m, n be the direction cosines of the line which is perpendicular to the line with direction cosines l 1, m 1, n 1 and l 2, m 2, n 2.. l, m, n are the direction cosines of the line.. ∴l 2 + m 2 + n 2 = 1 … (5) It is known that, ∴ ... WebTwo mutually perpendicular straight lines are drawn from the origin to form an isosceles triangle with the straight line x cos α + y sin α − p = 0. Then the area of this triangle is Q. Webstresses on an oblique section of a body subjected to direct stresses in two mutually perpendicular directions accompanied by a simple shear stress blue tea hibiscus flower tea