Multiple ChoiceIf vectors v⃗=⟨4,3⟩v ⃗=⟨4,3⟩v⃗=⟨4,3⟩ and u⃗=⟨9,1⟩u ⃗=⟨9,1⟩u⃗=⟨9,1⟩, calculate v⃗⋅u⃗v ⃗⋅u ⃗v⃗⋅u⃗.89views
Multiple ChoiceIf vectors v⃗=12ı^v⃗=12îv⃗=12ı^ and u⃗=100ȷ^u⃗=100ĵu⃗=100ȷ^, calculate u⃗⋅v⃗u ⃗⋅v ⃗u⃗⋅v⃗.94views
Multiple ChoiceIf vectors a⃗=13ı^a⃗=13îa⃗=13ı^, ⃗b⃗=5ı^−12ȷ^⃗b⃗=5î-12ĵ⃗b⃗=5ı^−12ȷ^, and c⃗=24ȷ^c⃗=24ĵc⃗=24ȷ^, calculate b⃗⋅(a⃗−c⃗)b ⃗⋅(a ⃗-c ⃗)b⃗⋅(a⃗−c⃗).87views
Multiple ChoiceIf vectors ∣a⃗∣=3|a⃗|=3∣a⃗∣=3 and ∣b⃗∣=7|b⃗|=7∣b⃗∣=7, and a⃗⋅b⃗=14.85a⃗\cdot b⃗=14.85a⃗⋅b⃗=14.85, determine the angle between vectors a⃗a ⃗a⃗ and b⃗b ⃗b⃗.85views
Multiple ChoiceIf vectors a⃗=4ı^a⃗=4îa⃗=4ı^ and b⃗=3ı^−2ȷ^b⃗=3î-2ĵb⃗=3ı^−2ȷ^, determine the angle between vectors a⃗a ⃗a⃗ and b⃗b ⃗b⃗.92views
Multiple ChoiceIf vectors ∣v⃗∣=12|v ⃗ |=12∣v⃗∣=12, ∣u⃗∣=100|u ⃗ |=100 ∣u⃗∣=100 and the angle between v⃗v ⃗v⃗ & u⃗u ⃗u⃗ is θ=π6\theta=\frac{\pi}{6}θ=6π, calculate v⃗⋅u⃗v ⃗⋅u ⃗v⃗⋅u⃗ .97views
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = 3i + j, w = i + 3j204views
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = 5i - 4j, w = -2i - j168views
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = -6i - 5j, w = -10i - 8j221views
Textbook QuestionIn Exercises 5–8, let v = -5i + 2j and w = 2i - 4j Find the specified vector, scalar, or angle. v ⋅ w158views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈2, 1〉, 〈-3, 1〉 184views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈4, 0〉, 〈2, 2〉 123views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈1, 6〉, 〈-1, 7〉 134views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.3i + 4j, j150views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.2i + 2j, -5i - 5j153views
Textbook QuestionIn Exercises 5–8, let v = -5i + 2j and w = 2i - 4j Find the specified vector, scalar, or angle. projᵥᵥv160views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. u ⋅ (v + w)301views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. u ⋅ v + u ⋅ w166views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. (4u) ⋅ v234views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. 4(u ⋅ v)171views
Textbook QuestionIn Exercises 17–22, find the angle between v and w. Round to the nearest tenth of a degree. v = 2i - j, w = 3i + 4j219views
Textbook QuestionIn Exercises 17–22, find the angle between v and w. Round to the nearest tenth of a degree. v = -3i + 2j, w = 4i - j209views
Textbook QuestionIn Exercises 17–22, find the angle between v and w. Round to the nearest tenth of a degree. v = 6i, w = 5i + 4j231views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = i + j, w = i - j269views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 2i + 8j, w = 4i - j207views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 2i - 2j, w = -i + j174views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 3i, w = -4i202views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 3i, w = -4j262views
Textbook QuestionIn Exercises 33–38, find projᵥᵥ v. Then decompose v into two vectors, v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w. v = 3i - 2j, w = i - j183views
Textbook QuestionIn Exercises 33–38, find projᵥᵥ v. Then decompose v into two vectors, v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w. v = i + 3j, w = -2i + 5j171views
Textbook QuestionIn Exercises 33–38, find projᵥᵥ v. Then decompose v into two vectors, v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w. v = i + 2j, w = 3i + 6j235views
Textbook QuestionIn Exercises 37–39, find the dot product v ⋅ w. Then find the angle between v and w to the nearest tenth of a degree. v = 2i + 4j, w = 6i - 11j154views
Textbook QuestionIn Exercises 39–42, let u = -i + j, v = 3i - 2j, and w = -5j. Find each specified scalar or vector. 5u ⋅ (3v - 4w)193views
Textbook QuestionIn Exercises 40–41, use the dot product to determine whether v and w are orthogonal. v = 12i - 8j, w = 2i + 3j154views
Textbook QuestionIn Exercises 39–42, let u = -i + j, v = 3i - 2j, and w = -5j. Find each specified scalar or vector. projᵤ (v + w)181views
Textbook QuestionIn Exercises 42–43, find projᵥᵥv. Then decompose v into two vectors, v₁ and v₂ where v₁ is parallel to w and v₂ is orthogonal to w. v = -2i + 5j, w = 5i + 4j170views
Textbook QuestionIn Exercises 43–44, find the angle, in degrees, between v and w. v = 2 cos 4𝜋 i + 2 sin 4𝜋 j, w = 3 cos 3𝜋 i + 3 sin 3𝜋 j 3 3 2 2171views
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i - 10j156views
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i + 10j171views1rank
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i + 18 j 5232views