Find a unit vector normal to the plane containing u=i+ 3j - 2k and v = -i- 2j + 3k. A unit vector normal to the plane containing u and v is ai + bj + ck where and c= b = (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expression.)

Q: Find the unit vector in the direction of v = 2i – 5j. You can write your answer either in component…

A: the given vector is  find the norm of the vector  .

Q: On the grid below, draw the following vectors: a = −2i+3j b = −4i + 2j c = 5j

A: To draw vectors

Q: Refer to vectors a-h. Represent each vector 1.-b 2.2h 3. а-с 4. е+f x Clear Undo A Redo

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Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 2 2 t = v = - 4 - 4 u= 14…

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Q: c) x = x1 – x2, x, = 5x1 – 3x2 %3D

A: To solve the given system of differential equations, first we find the eigenvalues and corresponding…

Q: Find the dot product of a = and b = .

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Q: If ö1 = (3, – 3) and v2 = (– 8, 8), then find 601 + 702. Type your answer in component form, (where…

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Q: 1. Consider the following vectors: a = 2í +33, 8 = -27+3k, and ở = -37+ 237 Compute the following…

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Q: If vector a= and vector b=, fınd a x b (the cross product of vector a and vector b). Enter the…

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Q: For vectors and shown, drawu - 2 13 19 V

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Q: 4. Show that a 6 a + %3D

A: Here simply open the squre term and then simplify as a.b=b.a

Q: Rewrite each vector in component form a. OP = 5j + 3k b. OQ = Zi – 4j + 7Ř %3D

A: Given, Vectors OP = 5j+3k OQ = 2i-4j+7k We have to rewrite each vector in component form.

Q: -0-0 and 2- For the two vectors: U- cijkuivjek find the result of the expression:

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Q: If c = 14, is the vector 2i + 5j in the span of ci – 12j and 7i - 6j? If c # 14, is the vector 2i +…

A: Answer