3.17 A plane contains the vectors A and B. Determine the unit vector normal to the plane when A and B (a) 7i+ 8j - 2k and 9i – 4j – 5k, (b) 6i – 3j + 9k and -5i + 4j - 3k

Q: Find the specified vector or scalar. u = -5i - 2j, v = 9i + 7j; Find u - v. O -14i - 9j O 4i + 5j O…

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Q: The plane passing through the three points A(4, –3, –4), B(-4, –3,2) and C(-3,3, –2) can be…

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Q: Find the vector projection of v = -6i + 10j – konto w = = 2i + j − k (Give your answer using…

A: The given two vectors are  v=-6i+10j-k  and w=2i+j-k

Q: let u = 2i -5j  ;   v =-3i+7j  ;    w=-i-6j Find each specified vector of scalar A. 3w+2v b.…

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Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: 14 (a) Find x. . Show your work. (b) State whether the components of uxvwill be positive, negative,…

A: Topic - vectors

Q: 2. Let A (1,-1,0) and B = (2,1,-2). (a) Solve for projgA. (b) Find the angle between projgA and A.

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Q: 7. Find the real part of the dot product of the vectors u" = (i, 1+ i, 1) v* = (5 + i, –2 + 2i, –1+…

A: Dot product of complex numbers

Q: Consider vectors a = (2, -8), b = (-1, 4), andc = 0. Determine the non-zero scalars a and B such…

A: Consider vectors a=(2,-8) , b=(-1,4) and c=0. We have to determine the non-zero scalars alpha and…

Q: 4. Consider the vectors u,v and w are defined, u = 3i-j+4k, v = 4i – 2j +6k and w= 5i+2k (a) Express…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: he vector component of A = 4 + 3ŷ + 62 along B=-2â+ 6ŷ + 42 is: O a. -1.21âx+1.82ây+-4.14âz O b.…

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Q: Equation of the plane passes through the point (1, 2, 3) and parallel to the vector A= 2i+3j :+k and…

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Q: Determine a unit vector perpendicular to the plane containing the two vectors A = 4a +4a +5a X y…

A: The given plane contains the vectors: A⇀=-4ax+4ay+5azB⇀=-2ax+ay-2az Any vector perpenciular to the…

Q: Give the vector equation of the plane passing through P, Q, and R. P = (8, 8, 8), Q = (4, 0, 2), R =…

A: The answer is given below:

Q: 2. Express the following vectors in rectangular coordinates: a- A rho sin(phi)a_rho+rho…

A: Base vectors for cylindrical co-ordinates are:Base vectors for spherical co-ordinates are:

Q: Find the equation of the plane with normal vector n = (8, 7, 3) passing through the point (4,,9) in…

A: Use equation of plane and put value

Q: Which of the following statements is not true for vectors a, b and c and scalars a and B (A) a.b+a.c…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1) 1 1) Determine the unit vector…

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Q: O Find a vector perpendicular to both i- 3j+2k and 5i-j-4k

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