Question 5 Find the unit vector perpendicular to each of the vectors 2i-j + k and...
3. Consider two vectors u = 2i -j +2k and v=3i+2j-k. (a) Find a vector orthogonal to a and b. _ [3 marks] (b) Show that the vector from (a) is orthogonal to a and b. [1 mark]
of meters. 30. Given these two vectors A (3.00)i + (7.00)j - (4. 00) k and B (2.00)i - (4.50)j + (3. 00) k: a. Calculate A. B Calculate A >< B b. Calculate the angle between A and B Determine by calculation if the vector c. is perpendicular to B. d. Calculate a unit vector that points in the direction of the vector-A
vector u= 2i-j vector v= -2i+3J-3K find the component vector u perpendicular to v
What are the two unit vectors perpendicular to 11 and 1 5. which vector is in the direction of the cross product l' × | i ?
Express Fas a vector in terms of the unit vectors i, j and k (present your answer with 3 significant figures). Please enter your answers in the form of Ai +Bj +Ck. z - F = 60 N 1101 40 50 Dimensions in millimeters Determine the angle in degrees between F and the y- axis. z - F = 60 N 1101 40 50 Dimensions in millimeters 300 mm 150 mm 200 mm Use the vector product treatment to express...
For the following two vectors, A = -5 i + 7 j + 4 k and B = 8 i + 3 j – 7 k ; a. What is the scalar product, (give answers in both component form and magnitude/direction form)? b. What is the angle between them in the same plane? c. What is the vector product, (give answers in both component form and magnitude/direction form)?
Two vectors p and q are given by: p = 2i + j - K q = i - 3j + 2k Find: a) p + q b) Modulus (p + q) c) Modulus (p) + Modulus (q) d) (p) x (q)
Problem 3 - Find the dot product between vectors A and B where Pa Worksheet 6 Vector Dot and Cross Products Problem 4 - Use the vector dot product to find the angle between vectors A and B where: Defining the Vector Cross Product: It turns out that there are some weird effects in physics that require us to invent a new kind of vector multiplication. For example, when a proton moves through a magnetic field, the force on the...
5. What are the two unit vectors perpendicular toand which vector is in the direction of the cross product l il × .?
Additional Problems: (HINT: It suffices to consider Just what happens (DX c A. Show by example that (a x b xc* a with i, j and k:) B. Find a vector which is perpendicular to every vector parallel to the plane z+y 0. C. Find the line which is the intersection of the planes x + y 0 and 3y-z = 0. D. Explain why the vectors in the following form describe a plane (where both t and s are...