28. Find the unit vector in the opposite direction to 7 –j + k.

Q: * REQUIRED 11. If t= and v = find t + v (Make sure you put the vector signs before and after…

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Q: 43. Explain the differences between vectors and scalars. Provide an example of each. 44. Copy the…

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Q: Find the value of x so that the vector i+2j+xk   makes and angle  pi/4  of  with the positive…

A: i+2j+xkTo Find: Value of x so that the vector makes an angle of π4 with the positive z axis.

Q: Express the vector u below as a sum of two vectors ₁ and ₂, where ₁ is parallel to the vector given…

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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: Use the given vectors to answer the following questions. a = i - 3k, b=j+k (a) Find a x b. (Enter…

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Q: 9. Let b, and b, be any real numbers with | b, |31 and | by151. Let u- VI - bịi + b, Vĩ – bị j +…

A: Consider the given vector: Here the objective is to prove that the given vector is a unit vector.

Q: The cross product of the vectors a = 2i - j+ 3k and b= 4i – 2j + 6k is likely to be the zero vector…

A: If vectors are parallel then cross product will be zero check they parallel or not

Q: Select the option that gives the vector product of i+k and i + j Select one: 01 Oi+j-k Oi-j-k…

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Q: Let v = (3, 0, 4) and w = (5, -2, -5). Compute the following quantities: a. The parallel projection…

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Q: 3. Write ū as a sum of vectors, one in the direction of and another orthoganal to a. 18 [4] -5 [3³]

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

Q: 23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

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Q: Find the distance d between the points P₁(7, 1, 10) and P₂(−3, 10, 3) by first finding the vector v…

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Q: Let a . Find a unit vector in the direction of a = 1 35 i + 5 √35 =j+ k 3 35 X Invalid notation.

A: Let's find unit vector in the direction of a.

Q: Express the vector as a product of its length and direction. 21+4j+4k O A. 6 OB. 6 18 + gi+? OC.…

A: The given vector is  2i + 4j + 4k we have to express vector as a product of its length and…

Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: = - A. Find the unit vector that makes an angle (0 with the positive x-axis.

A: The unit vector makes an angle θ=-3π4 with positive x-axis

Q: Identify the type of answer that results from each operation (vector or scalar). If the operation is…

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Q: [1 -1 5. Find a vector x + 0 such that 2 | 1 4 = 0. -1] 3 x = 8 1 2 6. Solve for x: 2 2 5 x = 3 07

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