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.35viewsHas a video solution.
Multiple ChoiceIf vectors v⃗=12ı^v⃗=12îv⃗=12ı^ and u⃗=100ȷ^u⃗=100ĵu⃗=100ȷ^, calculate u⃗⋅v⃗u ⃗⋅v ⃗u⃗⋅v⃗.36viewsHas a video solution.
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).36viewsHas a video solution.
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.34viewsHas a video solution.
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.36viewsHas a video solution.
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 .41viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = 3i + j, w = i + 3j137viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = 5i - 4j, w = -2i - j109viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = -6i - 5j, w = -10i - 8j155views
Textbook QuestionIn Exercises 5–8, let v = -5i + 2j and w = 2i - 4j Find the specified vector, scalar, or angle. v ⋅ w92viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = 5i, w = j106viewsHas a video solution.
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈2, 1〉, 〈-3, 1〉 73viewsHas a video solution.
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈4, 0〉, 〈2, 2〉 60viewsHas a video solution.
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈1, 6〉, 〈-1, 7〉 63viewsHas a video solution.
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.3i + 4j, j76viewsHas a video solution.
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.2i + 2j, -5i - 5j76viewsHas a video solution.
Textbook QuestionDetermine whether each pair of vectors is orthogonal.〈1, 1〉, 〈1, -1〉72viewsHas a video solution.
Textbook QuestionDetermine whether each pair of vectors is orthogonal.√5i - 2j, -5i + 2 √5j55viewsHas a video solution.
Textbook QuestionDetermine whether each pair of vectors is orthogonal.i + 3√2j, 6i - √2j78viewsHas a video solution.
Textbook QuestionIn Exercises 5–8, let v = -5i + 2j and w = 2i - 4j Find the specified vector, scalar, or angle. projᵥᵥv82viewsHas a video solution.
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. u ⋅ (v + w)199viewsHas a video solution.
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. u ⋅ v + u ⋅ w107viewsHas a video solution.
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. (4u) ⋅ v150viewsHas a video solution.
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. 4(u ⋅ v)107viewsHas a video solution.
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 + 4j139viewsHas a video solution.
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 - j127viewsHas a video solution.
Textbook QuestionIn Exercises 17–22, find the angle between v and w. Round to the nearest tenth of a degree. v = 6i, w = 5i + 4j147viewsHas a video solution.
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = i + j, w = i - j186viewsHas a video solution.
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 2i + 8j, w = 4i - j141viewsHas a video solution.
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 2i - 2j, w = -i + j107viewsHas a video solution.
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 3i, w = -4i121viewsHas a video solution.
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 3i, w = -4j156viewsHas a video solution.
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 - j115viewsHas a video solution.
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 + 5j102viewsHas a video solution.
Textbook QuestionIf u = 5i + 2j, v = i - j, and w = 3i - 7j, find u ⋅ (v + w).103viewsHas a video solution.
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 + 6j167viewsHas a video solution.
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 - 11j94viewsHas a video solution.
Textbook QuestionIn Exercises 39–42, let u = -i + j, v = 3i - 2j, and w = -5j. Find each specified scalar or vector. 5u ⋅ (3v - 4w)120viewsHas a video solution.
Textbook QuestionIn Exercises 40–41, use the dot product to determine whether v and w are orthogonal. v = 12i - 8j, w = 2i + 3j89viewsHas a video solution.
Textbook QuestionIn Exercises 39–42, let u = -i + j, v = 3i - 2j, and w = -5j. Find each specified scalar or vector. projᵤ (v + w)107viewsHas a video solution.
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 + 4j98viewsHas a video solution.
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 2102viewsHas a video solution.
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i - 10j91viewsHas a video solution.
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i + 10j106views1rankHas a video solution.
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i + 18 j 5113viewsHas a video solution.