Physics I problem. Please show work In the cross (or vector) product F = q v times B we know that q = 1 F = -44i + -16j + -90k v = -7.0i + 8.0j + 2.0k B = B_x i + B_y j + B_z k What then is B in unit-vector notation if B_x = B_y? B = i + j + k
In the cross (or vector) product F→=qv→×B→we know that q=1 F→=-33î+13ĵ+-35k̂ v→=-2.0î+3.0ĵ+3.0k̂ B→=Bxî+Byĵ+Bzk̂ What then isB→in unit-vector notation if Bx = By? In the cross (or vector) product É = qñ x B we know that q= 1 Ě =-33ỉ + 139 + -35 ✓ = -2.0î + 3.0j + 3.0ỉ B = Bxi + Bvj + B Â What then is B in unit-vector notation if Bx = By? ( ( B i 11.66 11.66 11.66 11.66 i i...
A negative charge q = -2.80 Times 10^-6 C is located at the origin and has velocity U^Rightarrow = (7.50 Times 104 m/s) i^+ ((-4.90) Times 10^4 m/s) j^. At this instant what is the magnetic field produced by this charge at the point x = 0.140 m, y = -0.280 m, z = 0? Enter the x, y, and z components of the magnetic field separated by commas. B_x B_y, B_z = mu T
Defining the cross product The cross product of two nonzero vectors \(\vec{u}\) and \(\vec{v}\) is another vector \(\vec{u} \times \vec{v}\) with magnitude$$ |\vec{u} \times \vec{v}|=|\vec{u}||\vec{v}| \sin (\theta), $$where \(0 \leq \theta \leq \pi\) is the angle between the two vectors. The direction of \(\vec{u} \times \vec{v}\) is given by the right hand rule: when you put the vectors tail to tail and let the fingers of your right hand curl from \(\vec{u}\) to \(\vec{v}\) the direction of \(\vec{u} \times \vec{v}\)...
6. (i) Prove that if V is a vector space over a field F and E is a subfield of F then V is a vector space over E with the scalar multiplication on V restricted to scalars from E. (ii) Denote by N, the set of all positive integers, i.e., N= {1, 2, 3, ...}. Prove that span of vectors N in the vector space S over the field R from problem 4, which we denote by spanr N,...
Problem 6. Let V be a vector space (a) Let (--) : V x V --> R be an inner product. Prove that (-, -) is a bilinear form on V. (b) Let B = (1, ... ,T,) be a basis of V. Prove that there exists a unique inner product on V making Borthonormal. (c) Let (V) be the set of all inner products on V. By part (a), J(V) C B(V). Is J(V) a vector subspace of B(V)?...
Vector (Cross) Product 1. Find the vector product (2j-2k) x 5k. Sketch all three vectors onto the coordinate system below Answer: 10 Find the vector product of i+4j-3k and -2i+j-5k. Prove that your answer is perpendicular to the first two vectors by using the dot product Answer: -17i+11j+9k or 17i-11j-9k, depending on the order in which you took the cross product. 2.
1) Force F =(-8.00 N){+(6.00 N) j acts on a particle with position vector r = (3.00 m)i +(4.00 m)j. What are (a) the torque on the particle about the origin, in unit-vector notation, and (b) the angle between the directions of r and F?
please answer question 4-7 Prove the arithmetic properties of the Cross Product 1. 2. a. Line L1 is parallel to the vector u Si+j, line L2 is parallel to the vector u-3i +4j and both lines pass through point P(-1,-2). Determine the parametric equations for line L1 and Lz b. Given line L:x(t)-2t+8,y(t)-10-3t. Does L and Ls has common 3. a. Find the equation of the plane A that pass through point P(3,-2,0) with b. Given A2 be the plane...
7) Calculate vector ĉ if vector ĉ is equal to the Cross Product of vector ä crossed with vector b, ¿ = axb ā= (4 m) + (-7 m) b = (10 N)X + (-3 N)9 8) A wrench is used to tighten a lug nut on a car, if the force F is applied to the wrench at a distance † from the center of the nut, the radius and force vectors are given as =(0.6 m)2+(-0.419 =(-12 N)X...