Prove A is perpendicular to A×B [Assume A=Ax i + Ay j +Az k, B=Bx i + By j +Bz k]

What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude and (c) an angle? Positive angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise. À = (2.00 m )i + (3.00 m )} B = 4.00 m, at 65.0⁰ 7 = ( - 4.00 m D = 5.00 m, at -235⁰ ¹)ì – (6.00 m )Ĵ

Consider a vector a = N i=1 ₁a¡ê; expressed in an orthonormal basis. Which of the following statements are true? Negative marking applies. Select one or more: a. (aa) = ₁ ai N i=1 b. (ala) (a|a) = 0 N (a|a) = Σ;₁a;ªz •j=1 □ d. e. f. = (ala) = (aa) = g. (aa) = 1 N ₁a²/ N i=1 * ₁ ažai ₁|a₁|² N

A = 3î + î + 23 43, B = ?

Given that the coordinates of A = (10, 5, 9), B = (7, 7, 9) and magnitude of the force in pole AB is 7 N. Compute the force vector AB. AB= 35 81 70 A 7x0% 7 X0% B ? *0% 5+ N 2+ 0

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0 аф sin þa, + tan— Înr aº at P(2‚ñ/2,3/2). Determine If A = r sin 0 cosa, - cos 20 sin þaŋ + tan cos 20 the vector component of A that is parallel to az (express your answer in spherical coordinates)

Two vectors a and 6 have magnitudes 4 and 2 respectively. Also the angle between a and bis Find a .. 130

What is the magnitude of the component vector Ax shown in the figure? What is the sign of the y component Ayof vector A shown in the figure?

All please with det