Assume the following position vectors. r A B = 0 i + 0 j + 8 k r A C = − 8 i − 5 j + 8 k r A D = 5 i − 8 j + 8 k a) correct unit vector for AB? b) correct unit vector for AC? c) correct unit vector for AD?

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Use the definition of scalar product, a b = ab cos 0, and the fact that a b = axbx + ayby + a₂b₂ to calculate the angle between the two vectors given by a = 4.01 + 4.0 + 4.0k and b = 4.01 + 7.0 +6.0k. Number i Units

The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗  F. In ordered pair notation, write down the components of vector D G.What is true about B⃗  and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.

LL Axax = B x ax; (d) A C = BC and Ax C = B x C where C is any vector except C = 0. 29 ax Express the unit vector a, in spherical components at the point: (a) r = 2, 0 = 1 rad, p = 0.8 rad; (b) x = 3, y = 2, z = -1; (c) p = 2.5, p = 0.7 rad, z = 1.5. 1.30 Consider a problem analogous to the varying wind velocities encountered by

0199 igs 0199 ۹ 5۱۹ من Example 2; find O between A¯and B? A*=2î +3ƒ +k , B =3î -2j +k Example 3; if 0=30o between A¯and B'find q value? A¯=2î +2j +4k , B'=qî +j -2k Example 4; Find the angle between the vectors A¯=2î +3ƒ +1k , B` =-4î +2ƒ -1k طلاب ممكن أحد يحل ذني دعاء صاحب حسین 7:56p äclul 21.02.05 >

If the plane passing through the points are: A (3, -2, 1), B (-1, 0, 2), and С (4, -3, 4) a. Find the angle of vector AB and AC using cross product and b. Ах В c. unit vector of B

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a. Express F as a vector in terms of the unit vectors i, j, and k. b. Determine the angle (in degrees) between F and the y-axis

CLO 4 If the plane x+y+z-1=0 cuts the x-axis, y-axis, and z-axis at A, B, and C respectively. Find the perpendicular distance to the point P(2,6,9). В а. 9.24 b. 8.66 С. 9.81 d. None of the choices О е. 5.33 f. 5.67 N.