Find v ·u. • u. v = -7i +2j and u = 5i +5j O -45 O -35i + 10j O -25 O -2i + 7j

Q: Convert 14e 3 i to rectangular form. O -7+3/7i O -7+ 7/3i O7+7/3i O -7 – 3/3i

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Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: = 5i + 4j and v=4i - 3j, determine -9u - v. Given u O-9u - v = -49i - 33j O-9u - v = -40i - 42j O-9u…

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Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: Find 2. 2 i

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Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: If A = -1 1 4 1 -2 -3 0 1 -2 and B = -1 2 −1 1 4 -2 -2 -3 then

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Q: 4 (2+ VT)5 5. Calculate 0.

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Q: Let a = – 4i – 5j and b – 7i + 3j. Find a - b

A: we have  a→=-4i→-5j→ and b→=-7i→+3j→

Q: B|a- Find u.v and v xu if u=i+2j-k and v=-2i+2j+2k

A: We have to solve given problem:

Q: Find a + b, 9a + 3b, Jal, and la - bl. a = 8i – 4j + 3k, b = 5i – 9k a+b = 9a + 3b = lal = la - b| =

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Q: ..=A+B Ā +B al. B = 2ī + 2j - 2K 3Ā = -i- 3j- k US 1/

A: Given A¯ = -i¯-3j¯-k¯B¯ = 2i¯ +2j¯ -2k¯

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A: A vector space V together with an inner product is called an inner product space. For example: V=ℝn…

Q: Find

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Q: Verify that              a.(b x c) = b.(c x a) = c. (a x b) if               a =4i – 3j +6k ,  b=…

A: Given that a→=4i-3j+6k, b→=5i+4j-3k, c→=4i+6j+3k We have to verify that a→·b→×c→=b→·c→×a→=c→·a→×b→

Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: Which of the following is the dot product of u = 4i + 6j – 5k and v =-10i – 8j + 10k? -3 60 -138

A: To find the dot product of the given vectors u=4i+6j-5k  &  v=-10i-8j+10k. Note that:…

Q: Which of the following represents vector u RS in linear form, where R (-19, 6) and S (-35, 13)? =

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Q: b. 3+V5-x 3I

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Q: * ?Find the cross product A XB when A = 2i + 3j and B = -3i + 2j

A: The cross product of two vectors A→ and B→ in 2 coordinates is given by A→×B→=AxAyBxBy k^Where…