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4. Determine the scalar triple product of the vectors: 3i2k and c = 3i+ j +...
Using the definition of the scalar product, find the angle between the following vectors. (Find the...
Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest nonnegative angle.) (a) A = 6i - 7j and B = 8i - 5j [17.33] (b) A = 3i + 3j and B = 3i - 4j + 2k (c) A = i - 2j + 2k and B = 3j + 4k
a) b) c) What is the scalar product of -i + 3j + 2k and 3i...
a)
b)
c)
What is the scalar product of -i + 3j + 2k and 3i – 2j + 2k, where i, j and k are the Cartesian unit vectors? Select one: O A. 12 OB. -7 OC. 7 OD. -5 O E. 5 What is the derivative of 4.25/4? Select one: A. 9c9/4 1629/4 B. 9 C. 5x1/4 D. 4.c 1/4 O E. 16.1/4 Which of the following is the c-coordinate of a stationary point of 3x3 – 9.x2...
Using the definition of the scalar product, find the angle between the following vectors. (Find the...
Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest nonnegative angle.) (a) A = 7i − 8j and B = 3i − 5j ° (b) A = −3i + 6j and B = 3i − 4j + 2k °
3. Consider two vectors u = 2i -j +2k and v=3i+2j-k. (a) Find a vector orthogonal...
3. Consider two vectors u = 2i -j +2k and v=3i+2j-k. (a) Find a vector orthogonal to a and b. _ [3 marks] (b) Show that the vector from (a) is orthogonal to a and b. [1 mark]
2. Which of the following pairs of vectors are orthogonal? (a) v = 3i - 2j,...
2. Which of the following pairs of vectors are orthogonal? (a) v = 3i - 2j, w = --i +2j (b) v = -2i, w = 5j (c) v = -i + 2j, w = -1 (d) v = 2i – 3j, w = -2i + 3j (e) None of these
please solve 9. Which of the following is an orthogonal pair of vectors? (a) 2i -...
please solve
9. Which of the following is an orthogonal pair of vectors? (a) 2i - ji + k (b) i- j + 2k, -i-j-k (d) 5i + j + k, -i +2j + 3k (e) None of these - **-*-*-* (c) 3i - 2k, 2j - k
6 ture Supplement 4: Intro Vectors Worksheet B a vector (graphical, verbal, or mathematical) that is...
6
ture Supplement 4: Intro Vectors Worksheet B a vector (graphical, verbal, or mathematical) that is in: Provide an example of a) ID b) 2D c) 3D (graphi Outline the main vector operations we will use in class: a) Vector Addition b) Vector Subtraction c) Scalar Multiplication d) Vector Dot Product e) Vector Cross Product What is a resultant vector? 4 What is the component of a vector? 3,Define a unit vector. Give an example of a unit vector in...
5. Find the i) scalar and ii) vector projections of v onto u if u =...
5. Find the i) scalar and ii) vector projections of v onto u if u = 7i+j – 2k and v= 3i -5j +2k
Two vectors A = -3i + 4 - 2k and B = 5j + 2k act...
Two vectors A = -3i + 4 - 2k and B = 5j + 2k act on an object. Determine: (a) the magnitude of A (b) the magnitude of B A.B (c) the angle between A and B
Let →a=2→i−5→j−2→ka→=2i→-5j→-2k→ and →b=5→i−→kb→=5i→-k→. Find −→a+→b-a→+b→. Let ā = 27 – 53 – 2k and 7...
Let →a=2→i−5→j−2→ka→=2i→-5j→-2k→ and →b=5→i−→kb→=5i→-k→. Find
−→a+→b-a→+b→.
Let ā = 27 – 53 – 2k and 7 = 57 - K. Find - ã+ 7. <3i Х 5j k X>
Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest nonnegative angle.) (a) A = 6i - 7j and B = 8i - 5j [17.33] (b) A = 3i + 3j and B = 3i - 4j + 2k (c) A = i - 2j + 2k and B = 3j + 4k
a)
b)
c)
What is the scalar product of -i + 3j + 2k and 3i – 2j + 2k, where i, j and k are the Cartesian unit vectors? Select one: O A. 12 OB. -7 OC. 7 OD. -5 O E. 5 What is the derivative of 4.25/4? Select one: A. 9c9/4 1629/4 B. 9 C. 5x1/4 D. 4.c 1/4 O E. 16.1/4 Which of the following is the c-coordinate of a stationary point of 3x3 – 9.x2...
3. Consider two vectors u = 2i -j +2k and v=3i+2j-k. (a) Find a vector orthogonal to a and b. _ [3 marks] (b) Show that the vector from (a) is orthogonal to a and b. [1 mark]
2. Which of the following pairs of vectors are orthogonal? (a) v = 3i - 2j, w = --i +2j (b) v = -2i, w = 5j (c) v = -i + 2j, w = -1 (d) v = 2i – 3j, w = -2i + 3j (e) None of these
please solve
9. Which of the following is an orthogonal pair of vectors? (a) 2i - ji + k (b) i- j + 2k, -i-j-k (d) 5i + j + k, -i +2j + 3k (e) None of these - **-*-*-* (c) 3i - 2k, 2j - k
6
ture Supplement 4: Intro Vectors Worksheet B a vector (graphical, verbal, or mathematical) that is in: Provide an example of a) ID b) 2D c) 3D (graphi Outline the main vector operations we will use in class: a) Vector Addition b) Vector Subtraction c) Scalar Multiplication d) Vector Dot Product e) Vector Cross Product What is a resultant vector? 4 What is the component of a vector? 3,Define a unit vector. Give an example of a unit vector in...
5. Find the i) scalar and ii) vector projections of v onto u if u = 7i+j – 2k and v= 3i -5j +2k
Two vectors A = -3i + 4 - 2k and B = 5j + 2k act on an object. Determine: (a) the magnitude of A (b) the magnitude of B A.B (c) the angle between A and B
Let →a=2→i−5→j−2→ka→=2i→-5j→-2k→ and →b=5→i−→kb→=5i→-k→. Find
−→a+→b-a→+b→.
Let ā = 27 – 53 – 2k and 7 = 57 - K. Find - ã+ 7. <3i Х 5j k X>
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