The force F has a magnitude of 70 lb and acts within the octant shown in the figure. Determine the magnitude of the x component of F using scalar notation, the magnitude of the y component of F using scalar notation and he magnitude of the z component of F using scalar notation.

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: Use the dot product to determine whether v = 5i and w = -6j are orthogonal.

A: Given:

Q: State whether each expression is meaningful. If not, explain why. If so, state whether it is a…

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Q: State the properties of Dot Product.

A: If a→, b→ and c→ are any two vectors. 1. Dot product is commutative i.e a.→b→=b→.a→ 2. If a.→b→=0,…

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

A:

Q: Find each scalar multiple. aа. 2(3, 1) b. 3(-5, 1) c. -(-6. 0)

A: Given: a)  23,1b)  3-5,1c) -12-6,0 To determine: Scalar multiple in each case.

Q: Find two distinct square roots of i .

A:

Q: Let u = 4i - 9j, and v= - 4i +4j. Find v- u. v-u = (Type your answer in terms of i and j.)

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Q: Find the magnitude of the vector  , 3−6 .   Write your answer in simplified radical form.

A: Let the vector be u=3,-6. To determine the magnitude of the vector v=x,y, use the formula v=x2+y2.

Q: Find the following products.   (-3 + 3i)(-2 +9i)

A: To determine: -3+3i-2+9i

Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: Find the product of (12 - 9i) and its conjugate. product %3D

A: Given is : (12-9i) And conjugate of complex number: (12+9i)

Q: O Ex press the following in the Rorm atib : (i) (l+i) (1-2i) I+ 3i 34i (1-i)? 2+Bi 2 (ii) 3+4i 2 -4i…

A: Complex number: A number of the form z=x+ιy, where x and y are real numbers, is called a complex…

Q: Simplify: i29 + i²1 + i2050 in form a + bi.

A:

Q: Construct QJ so that QJ = TR - PS.

A: From the given data:

Q: Evaluate coth (3+8i). Express your answer in rectangular form in 4 decimal places and with no spaces

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Q: A vector A = (5.801 - 3.10) m and a vector B = (2.00f + B)m are related by a scalar quantity such…

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Q: Graph the vector 3 – 2i and state its argument (or direction vector) in de

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