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.79views
Multiple ChoiceIf vectors v⃗=12ı^v⃗=12îv⃗=12ı^ and u⃗=100ȷ^u⃗=100ĵu⃗=100ȷ^, calculate u⃗⋅v⃗u ⃗⋅v ⃗u⃗⋅v⃗.84views
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).80views
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.79views
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.83views
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 .86views
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = 3i + j, w = i + 3j196views
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = 5i - 4j, w = -2i - j160views
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = -6i - 5j, w = -10i - 8j215views
Textbook QuestionIn Exercises 5–8, let v = -5i + 2j and w = 2i - 4j Find the specified vector, scalar, or angle. v ⋅ w152views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈2, 1〉, 〈-3, 1〉 172views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈4, 0〉, 〈2, 2〉 116views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈1, 6〉, 〈-1, 7〉 127views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.3i + 4j, j144views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.2i + 2j, -5i - 5j143views
Textbook QuestionIn Exercises 5–8, let v = -5i + 2j and w = 2i - 4j Find the specified vector, scalar, or angle. projᵥᵥv148views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. u ⋅ (v + w)291views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. u ⋅ v + u ⋅ w160views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. (4u) ⋅ v226views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. 4(u ⋅ v)163views
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 + 4j209views
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 - j198views
Textbook QuestionIn Exercises 17–22, find the angle between v and w. Round to the nearest tenth of a degree. v = 6i, w = 5i + 4j218views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = i + j, w = i - j261views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 2i + 8j, w = 4i - j200views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 2i - 2j, w = -i + j167views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 3i, w = -4i189views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 3i, w = -4j250views
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 - j174views
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 + 5j165views
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 + 6j229views
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 - 11j150views
Textbook QuestionIn Exercises 39–42, let u = -i + j, v = 3i - 2j, and w = -5j. Find each specified scalar or vector. 5u ⋅ (3v - 4w)185views
Textbook QuestionIn Exercises 40–41, use the dot product to determine whether v and w are orthogonal. v = 12i - 8j, w = 2i + 3j145views
Textbook QuestionIn Exercises 39–42, let u = -i + j, v = 3i - 2j, and w = -5j. Find each specified scalar or vector. projᵤ (v + w)170views
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 + 4j162views
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 2164views
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i - 10j150views
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i + 10j165views1rank
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i + 18 j 5220views