Concept explainers
At a given point in space,
Find:
- (a) The scalar component, or projection, of B in the direction of A.
- (b) The vector component of B in the direction of A.
- (c) The vector component of B perpendicular to A.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
- #63 pls help me in this tooarrow_forwardGiven two vectors A = 4ax + 2.5ay – 2az and B = 5ax + 2ay + 4 az . find (a) the angle between vector A and B (b) cross product between vector A and B (c) scalar projection of A in the direction of Barrow_forwardF = 5ar in spherical components. Express the uniform vector fieldarrow_forward
- a) Given vectors (in Cartesian coordinates) A = 4âx – 3ỹ + 22 and B = 5ŷ - 2 iii. Prove that A X B is perpendicular to both vector A and vector Barrow_forwardGiven these two vectors A = -10 ax + 4ay – 8az and B = 8 ax + 7ay – 2az, find: a.) Unit vector from A to B b.) Vector sum of A + 2B c.) Magnitude of (5ax + B – 3A)arrow_forwarda) Given vectors (in Cartesian coordinates) A = 4x – 3ŷ + 22 and B = 5 ỹ – 2 ii. Find the angle between vector A and vector Barrow_forward
- find the sphericalarrow_forwardWhat is the resultant of vector A=2i +2j, and vector B= -2i+lj Select one: a. 3.5 O b. 3 C. 5√2 O d. √26 e. 2arrow_forwardThe component of the Vector A =a¸ +2a¸ -a, along the vector B=3a +4a, is Select one: a. Ag =3ax+4ay on b. 3. 8 X. С. 33 Ag d. 11 AB = 22arrow_forward
- Transform the given vector field to cylindrical and spherical components and variables: G = xyax+ ²ay − 3az.arrow_forwardThe displacement vectors A and B shown in the figure below both have magnitudes of 3.90 m. The direction of vector A is e = 22.0°. (a) Find A + B graphically. magnitude m direction ° counterclockwise from the +x axis (b) Find A - B graphically. magnitude direction ° counterclockwise from the +x axis (c) Find B - A graphically. magnitude direction ° counterclockwise from the +x axis (d) Find A - 2B graphically. magnitude direction ° counterclockwise from the +x axisarrow_forwarda) Given vectors A = & + 32 and B = 5x + 2ỹ – 62, determine: i. 5A - B ii. A unit vector parallel to 5A – B iii. The component of A along yarrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,